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Factors and Multiples Worksheets

Welcome to our Factors and Multiples Worksheets. Here you will find a wide range of free Math Worksheets which will help your child to learn to use multiples and factors at a 4th Grade/ 5th Grade level.

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Factors and Multiples Worksheet

These sheets have been designed to support your child with their learning of multiples and factors.

The sheets are graded in order of difficulty with the easiest sheet coming first in each section.

Using these sheets will help your child to:

  • Know and understand what multiples and factors are;
  • apply knowledge of multiples and factors to solve problems;
  • Develop and practice their mental calculation skills.

Want to test yourself to see how well you have understood this skill?.

  • Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

Multiples and Factors Help

Multiples worksheets, factors worksheets.

  • Factors and Multiples Riddles
  • Easier/Harder Worksheets
  • More related resources

Factors and Multiples Online Quiz

If a number is a multiple of another number, it means that it can be made out of adding groups of the other number together.

12 is a multiple of 4 because 4 + 4 + 4 = 12 (or 4 x 3 = 12)

27 is a multiple of 9 because 9 + 9 + 9 = 27 (or 9 x 3 = 27)

17 is not a multiple of 4 because it cannot be made by adding groups of 4 together.

A factor is a number that divides into another number with no remainder.

In other words every number is divisible by each of its factors.

1 is a factor of every whole number, because every integer is divisible by one.

3 and 7 are both factors of 21 because 3 x 7 = 21

10 and 6 are both factors of 60 because 10 x 6 = 60

7 is not a factor of 24 because 24 is not divisible by 7 (24 ÷ 7 = 3 remainder 3).

Multiples and Factors are connected with each other:

  • if we know that 3 is a factor of 12, then 12 is a multiple of 3
  • if we know that 33 is a multiple of 11, then 11 is a factor of 33.
  • also, if we know that 24 is not a multiple of 7, then 7 is not factor of 24.

The example below shows the relationship visually.

If we know that 3 is a factor of 24, then 24 must be a multiple of 3.

If we know that 24 is a multiple of 3, then 3 must be a factor of 24.

Multiples and Factors Worksheets

We have split our worksheets into 3 different sections:

  • the first section contains only worksheets about Multiples
  • the second section contains only worksheets about Factors
  • the third section contains worksheets with both Factors and Multiples
  • Multiples Sheet 4:1
  • PDF version
  • Multiples Sheet 4:2
  • Multiples Sheet 4:3
  • Multiples Sheet 4:4

We have two worksheets on finding Factor Pairs up to 100.

We have two worksheets which involve finding all the factors of different numbers.

  • Factor Pairs Worksheet 1
  • Factor Pairs Worksheet 2
  • Factors Worksheet 4:1
  • Factors Worksheet 4:2
  • Factors and Multiples Worksheet 4:1
  • Factors and Multiples Worksheet 4:2
  • Factors and Multiples Worksheet 4:3

Factor and Multiples Riddles

Using riddles is a great way to get children to apply their knowledge of factors and multiples to solve problems.

It is also a good way to get children working collaboratively and talking about the language together.

Each riddle consists of some clues and a selection of possible answers.

Solving the clues gradually eliminates all the incorrect answers leaving just one solution.

  • Factors and Multiples Riddles 1
  • Factors and Multiples Riddles 2

Looking for some easier Multiples Sheets

The sheets in this section cover similar areas to the worksheets on this page but are at an easier level.

  • round a number to the nearest 10, 100 or 1000;
  • use the > and < symbols correctly for inequalities;
  • use multiples and apply them to solve problems.
  • Rounding Inequalities Multiples Worksheets

Looking for some harder Factors and Multiples Worksheets

We also have some more advanced worksheets about multiples and factors.

The worksheets below are more suitable for 6th graders and above.

  • Greatest Common Factor Worksheets
  • Least Common Multiple Worksheets
  • Factor Tree Worksheets (easier)
  • Prime Factorization Worksheets (harder)

More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

Divisibility Rules 1-10 Chart

We have a range of charts which can help you determine whether a number between 1 and 10 is a factor of a number.

  • Divisibility Rules 1-10 Charts

Balancing Math Equations Worksheets

The sheets in this area will help your child understand the use and purpose of the equals sign (=) in an equation.

It will also help children learn to start manipulating and calculating numerical expressions so that they are equivalent.

This will stand them in good stead for when they start to learn algebra, and manipulate algebraic equations.

  • Balancing Math Equations

Sieve of Erastosthenes

The Sieve of Erastosthenes is a method for finding what is a prime numbers between 2 and any given number.

Eratosthenes was a Greek mathematician (as well as being a poet, an astronomer and musician) who lived from about 276BC to 194BC.

If you want to find out more about his sieve for finding primes, and print out some Sieve of Eratosthenes worksheets, use the link below.

  • Sieve of Eratosthenes page

Want to find out more about primes?

Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not.

There are also many different questions about prime numbers answered, as well as information about the density of primes.

  • What is a Prime Number

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill with factors and multiples here!

Fun Quiz Facts

  • This quiz was attempted 1,569 times last academic year. The average (mean) score was 14.8 out of 20 marks.
  • Can you beat the mean score?

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5th Grade Factors and Multiples Worksheets

In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word problems on HCF.

I. Write the first three multiples of the given numbers.

II. Find the prime factor of 84.

III. Find the number:

(i) A multiple of 7 which lies between 30 and 40.

(ii) A multiple of 5 and 2 which is 2 more than the third multiple of 6.

(iii) A multiple of 3 and 5 greater than 42 but less than 47.

(iv) 2 digit prime number less than 47. The product of my digits is 21.

(v) Multiple of 3 but not of 6 and 9 greater than 22 but less than 37.

(vi) Two digit odd composite number. Sum of my digits is 12 and I am greater than 89.

IV. Fill in the blanks:

(i) 3 × 5 = 15. Here 3 and 5 are …………… of 15.

(ii) 6 × 7 = 42. Here 42 is the …………… of 6 and 7.

(iii) The numbers with only 2 factors are called …………… numbers.

(iv) The HCF of co-prime number is ……………

(v) A number can have …………… multiples.

(vi) LCM of two co-prime numbers is their ……………

(vii) HCF of two or more numbers always …………… their LCM.

V. Find the HCF of the given numbers.

(i) 15 and 20

(ii) 24, 36 and 42

(iii) 36 and 170

(iv) 90, 108 and 126

VI.  Write the prime numbers between 11- 30.

VII.  Find the common multiples of 2, 8 and 12.

VIII.  Check the divisibility of given numbers.

(i) 86, 190 by 3

(ii) 47, 815 by 3

(iii) 2, 37, 405 by 11

(iv) 81, 620 by 4

IX.  Find the LCM of the given numbers.

(i) 42 and 84

(ii) 55 and 105

(iii) 32 and 124

(iv) 35, 25 and 15

(v) 80, 140 and 200

X.  The LCM of 25 and 65 is 325. Find their HCF.

XI.  The LCM of two numbers is 1344 and their HCF is 4. If one of the numbers is 84, find the other number.

XII.  Sam visits the library every fourth day and Ron every sixth day. Find out days on which both meet in the library in the month of April.

5th Grade Factors and Multiples Worksheets

Answers on 5th Grade Factors and Multiples Worksheets are given below to check the exact answers of the questions. 

I.  (i) 4, 8 , 12

(ii) 7, 14, 21

(iii) 13, 26, 39

II.  2 × 2 × 3 × 7

III.  (i) 35

IV.  (i) factors

(ii) multiple

(iii) prime

(vi) product

(vii) divides

V.  (i) 5

VI.  13, 17, 19, 23, 29

VII.  24

VIII.  (i) divisible

(ii) divisible

(iii) not divisible

(iv) divisible

IX.  (i) 84

XI.  64

XII.  12 th  day and 24 th  day

5th Grade Math Problems

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Free Printable Factors and Multiples Worksheets for 5th Grade

Math Factors and Multiples worksheets for Grade 5 students: Discover a collection of free printable resources to help teachers effectively teach essential math concepts, created by Quizizz.

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Explore printable Factors and Multiples worksheets for 5th Grade

Factors and Multiples worksheets for Grade 5 are essential tools for teachers to help their students develop a strong foundation in math, particularly in the areas of number sense and number theory. These worksheets provide a variety of engaging and challenging exercises that focus on understanding the relationship between factors and multiples, as well as their application in solving real-world problems. By incorporating these worksheets into their lesson plans, teachers can ensure that their Grade 5 students have ample opportunities to practice and master the concepts of factors and multiples, ultimately enhancing their overall math skills and confidence. Furthermore, these worksheets can be easily adapted to cater to different learning styles and abilities, making them an invaluable resource for any Grade 5 math classroom.

Quizizz is an excellent platform that offers a wide range of resources for teachers, including Factors and Multiples worksheets for Grade 5, as well as other math-related materials. By utilizing Quizizz, teachers can access a vast library of interactive quizzes, games, and activities that are designed to reinforce and assess students' understanding of number sense and number theory concepts. In addition to the Factors and Multiples worksheets, Quizizz also offers resources covering various other math topics, making it a one-stop-shop for all Grade 5 math needs. The platform's user-friendly interface and customizable features allow teachers to easily create and share engaging content with their students, making learning math both fun and effective. With Quizizz, teachers can ensure that their Grade 5 students are well-equipped with the necessary skills and knowledge to excel in math and beyond.

Factors and Multiples Worksheets

Factors and multiples worksheets help a student recognize factors of numbers. This is important in every discipline the student encounters.A factor is any number that divides evenly into another number, while a multiple is any number that can be divided evenly by the other numbers around it.With detailed answer keys provided the students will find these worksheets very helpful.

Benefits of Factors and Multiples Worksheets

Factors and multiples worksheets are beneficial for the students in enhancing the essential arithmetic skills which will help them increase their calculation speed as well make them good at number crunching. They will get to understand the difference between factor and multiple while working on the relevant problems.These printable and free to download factors and multiples worksheets are designed in an interactive manner so that the students find them interesting.

Download Factors and Multiples Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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5th Grade Factors & Multiples Worksheets

Printable Factors & Multiples Math Worksheets for at-home practice

5th grade math worksheets factors and multiples

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Download this informative guide to learn how to best support your fifth grader as they learn and master important grade appropriate concepts about Factors & Multiples.

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5th grade math worksheets factors and multiples

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Factors and Multiples

Fifth grade factors and multiples worksheets.

5th grade math worksheets factors and multiples

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Factors and Multiples Math Worksheets

In this section, you can view and download all of our factors and multiples worksheets. these include common-core aligned, themed and age-specific worksheets. perfect to use in the classroom or homeschooling environment..

Factoring Sum and Difference of Two Cubes (Sweets and Candies Themed) Math Worksheets

Factoring Sum and Difference of Two Cubes (Sweets and Candies Themed) Math Worksheets

Factoring By Grouping (Wonders of the World Themed) Math Worksheets

Factoring By Grouping (Wonders of the World Themed) Math Worksheets

Surds (International Design Day Themed) Math Worksheets

Surds (International Design Day Themed) Math Worksheets

Sum and Difference of Two Terms (Labor Day Themed) Math Worksheets

Sum and Difference of Two Terms (Labor Day Themed) Math Worksheets

Simplifying Square Roots (Solving Mysteries Themed) Math Worksheets

Simplifying Square Roots (Solving Mysteries Themed) Math Worksheets

Perfect Numbers (Physical Fitness Themed) Math Worksheets

Constructing Logical Arguments Skills: Perfect Numbers (Physical Fitness Themed) Math Worksheets

Manipulating Simple Polynomials (Election Themed) Math Worksheets

Manipulating Simple Polynomials (Election Themed) Math Worksheets

Factoring General Trinomials (a=1) (Safari Themed) Math Worksheets

Factoring General Trinomials (a=1) (Safari Themed) Math Worksheets

Factorization (Amelia Earhart Day Themed) Math Worksheets

Factorization (Amelia Earhart Day Themed) Math Worksheets

Powers of 10 (World Population Day Themed) Math Worksheets

Powers of 10 (World Population Day Themed) Math Worksheets

Factoring Difference of Two Squares (DOTS) (Harvest Festival Themed) Math Worksheets

Factoring Difference of Two Squares (DOTS) (Harvest Festival Themed) Math Worksheets

Factoring Perfect Square Trinomials (Earth Day Themed) Math Worksheets

Factoring Perfect Square Trinomials (Earth Day Themed) Math Worksheets

Imperial System of Measurement (National Baking Week Themed) Math Worksheets

Imperial System of Measurement (National Baking Week Themed) Math Worksheets

Multiplying By 11 (Word Games Themed) Math Worksheets

Multiplying By 11 (Word Games Themed) Math Worksheets

Factor Pairs (Thanksgiving Day Themed) Math Worksheets

Factor Pairs (Thanksgiving Day Themed) Math Worksheets

Co-Prime Numbers (Bastille Day Themed) Math Worksheets

Co-Prime Numbers (Bastille Day Themed) Math Worksheets

Least Common Multiple (Earth Day Themed) Math Worksheets

LCM: Least Common Multiple (Earth Day Themed) Math Worksheets

GCF: Greatest Common Factor (Valentine's Day Themed) Math Worksheets

GCF: Greatest Common Factor (Valentine’s Day Themed) Math Worksheets

Composite Numbers (Christmas Day Themed) Math Worksheets

Composite Numbers (Christmas Day Themed) Math Worksheets

Prime Numbers (Diwali Themed) Math Worksheets

Prime Numbers (Diwali Themed) Math Worksheets

Factors and multiples worksheets & study resources:.

Brief definition Factors are numbers that can be multiplied together to get a new number, while multiples are the results of multiplying a number by an integer. Learners usually begin exploring these topics in 4th grade, wherein more advanced lessons about fractions are introduced. They use the factor tree, listing method, and other strategies to grasp the underlying concepts of factors and multiples. These topics are reinforced and mastered as learners move on to higher levels. Learners begin to understand the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) that they will surely need in operations involving fractions.

Importance of the Topic Learning about factors and multiples is an important scaffold in learning operations involving fractions — most especially in adding and subtracting, unlike fractions, as well as in simplifying fractions . In addition, understanding factors and multiples creates an opportunity for the learners to see the relationship of numbers and to enhance their multiplication and division skills. For example, as they compose numbers that will equate to 36, learners can think of the following number combinations: 1 x 36, 2 x 18, 3 x 12, and 9 x 4 as factors. If they need to list down the first five multiples of 3, then they can have 3, 6, 9, 12, and 15.

Application of the Learned Topic in Life Most of the questions that involve factors and multiples are number-mystery problems. Even though it is not seen directly in everyday living, answering number-mystery problems stimulates brain activity. It helps the brain to be more active and busy in which later on sharpens ones’ ability to think logically and critically. Not to mention that it improves the problem-solving ability of an individual.

These topics can also be helpful in solving problems related to the combination of objects that are happening simultaneously to create a meaningful set. For example, if there are 12 water bottles and 16 cans of food for the distribution of food packs, what is the greatest number of food packs that can be made if they have to be distributed equally with no remainder left?

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Grade 5 Multiples And Factors

Grade 5 Multiples And Factors - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Multiples of whole numbers work, Listing the factors es1, Grade 6 factors and multiples, Factors multiples, Grade 5 multiplication work, Multiples, Multiples word problems involving, Least common multiples.

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1. Multiples of whole numbers worksheet

2. listing the factors es1, 3. grade 6 factors and multiples -, 4. factors & multiples, 5. grade 5 multiplication worksheet, 6. multiples, 7. multiples, l.c.m. & word problems involving h.c.f. & l.c.m., 8. least common multiples.

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Multiples of whole numbers

Multiplication and Division Workbook

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Finding multiples of whole numbers

Multiples of a number are the products of multiplying that number by other numbers.  Students find the first 5 multiples of numbers between 2-10 or 2-20.

5th grade math worksheets factors and multiples

Base number 2-10:

Base number 2-20:

5th grade math worksheets factors and multiples

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Factors and Multiples

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Factors and Multiples

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  3. Worksheets On Multiples And Factors

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  4. Factors or Multiples or Both!

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    5th grade math worksheets factors and multiples

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  1. 💐🌹👌5th Class Maths Workbook Sem-2 Unit-5"Factors And Multiples"Worksheet 1-8 Detailed Explanation💐👍👌

  2. Factors and Multiples

  3. Unit 6 / lesson 6 / relationships between factors and multiples / ماث الصف الرابع

  4. RATIOS-6th Grade Math Worksheets for Middle School Students

  5. (3) 6th grade math- Unit 1: Factors and multiples (Eureka Module 2)--Mosh this Way Mathematics (c)

  6. CLASS-5TH / MATHS/ CHAPTER-6/ FACTORS AND MULTIPLES/EXERCISE-18 / NEW COMPOSITE MATHEMATICS

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  1. Grade 5 Factoring Worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 5th grade factoring worksheets, including factoring of numbers, prime factors, prime factor trees, least common multiples (LCM) and greatest common factors (GCF) .

  2. Factors and Multiples Worksheet

    Here you will find a wide range of free Math Worksheets which will help your child to learn to use multiples and factors at a 4th Grade/ 5th Grade level. Factors and Multiples Worksheet. These sheets have been designed to support your child with their learning of multiples and factors. The sheets are graded in order of difficulty with the ...

  3. 5th Grade Factors and Multiples Worksheets

    In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word problems on HCF. I. Write the first three multiples of the given numbers.

  4. Fifth grade math worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 5th grade math worksheets: Multiplication, division, place value, rounding, fractions, decimals , factoring, geometry, measurement & word problems. No login required.

  5. Printable Factors and Multiples Worksheets

    These factors worksheets will generate 10, 15 or 20 Least Common Multiple problems per worksheet. Least Common Multiple and Greatest Common Factor Worksheets. These factors worksheets are great for practicing finding the Least Common Multiple and Greatest Common Factor of number sets. The problems may be selected from four different number ...

  6. Free Printable Factors and Multiples Worksheets for 5th Grade

    Explore printable Factors and Multiples worksheets for 5th Grade. Factors and Multiples worksheets for Grade 5 are essential tools for teachers to help their students develop a strong foundation in math, particularly in the areas of number sense and number theory. These worksheets provide a variety of engaging and challenging exercises that ...

  7. Factors and Multiples Worksheets

    Factors and Multiples Worksheets. Factors and multiples worksheets help a student recognize factors of numbers. This is important in every discipline the student encounters.A factor is any number that divides evenly into another number, while a multiple is any number that can be divided evenly by the other numbers around it.With detailed answer keys provided the students will find these ...

  8. Factors and Multiples Fifth Grade

    Using these factor tree worksheet. Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade. ... Fifth Grade Factors and Multiples. 21 Filtered Results. NEW! NEW! Test Prep. Create your own learning path. Get ready for an upcoming test Step by Step practice ...

  9. Factors and Multiples Fifth Grade Worksheets

    Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade. ... Worksheets; Fifth Grade; Factors and Multiples; ... Fifth Grade Factors and Multiples. 15 Filtered Results. NEW! NEW! Test Prep. Create your own learning path. Get ready for an upcoming test Step ...

  10. Search Printable 5th Grade Factors and Multiple Worksheets

    Vocabulary Cards: Doubling Multiples for Division. Worksheet. 1. Browse Printable 5th Grade Factors and Multiple Worksheets. Award winning educational materials designed to help kids succeed. Start for free now!

  11. IXL

    IXL plans. Virginia state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Identify factors" and thousands of other math skills.

  12. 5th Grade Factors & Multiples Worksheets

    Factors & Multiples. Common Factors & HCF. Common Multiples & LCM. See up to a 90% Improvement in Math Scores Within 3 Months. Get Price. Explore our free, factors and multiples worksheets for 5th grade to help your child improve their skills in alignment with the common core curriculum.

  13. Factors and Multiples Worksheets

    Factors and Multiples Worksheets. Tags: 4th Grade 5th Grade 6th Grade 7th Grade. Download PDF. Download PDF. Download PDF. Download PDF. ... Algebra; Arithmetic; Geometry; Statistics; Trigonometry; Grades. 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 7th Grade 8th Grade 9th Grade 10th Grade 11th Grade 12th Grade. Join Our ...

  14. Factors and Multiples Fifth Grade

    Using these factor tree worksheet. Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade. ... Fifth Grade Factors and Multiples. 13 Filtered Results. NEW! NEW! Test Prep. Create your own learning path. Get ready for an upcoming test Step by Step practice ...

  15. Factor Worksheets

    Free factor worksheets and free factor distance learning. Printable or online. 100% free math worksheets! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!

  16. Factors and Multiples worksheet for 5

    17/10/2020. Country code: IN. Country: India. School subject: Math (1061955) Main content: Factors and Multiples (2029455) Multiple choice question and Fill in the Blanks. Other contents: Prime and Composite.

  17. Factors And Multiples Grade 5 Worksheets

    Factors And Multiples Grade 5 - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Multiples, Listing the factors es1, Multiples of whole numbers work, Factors multiples, Greatest common factor ms1, Finding factors, Y5 multiplication and division, Multiples and factors quiz.

  18. Factors and Multiples Fifth Grade Worksheets

    Using these factor tree worksheet Over 4,500 free worksheets available to learn and practice math. Designed by experts and adapted to the demands of each country and school grade.

  19. Factors & Multiples Math Worksheets

    Factors and Multiples Worksheets & Study Resources: Brief definition. Factors are numbers that can be multiplied together to get a new number, while multiples are the results of multiplying a number by an integer. Learners usually begin exploring these topics in 4th grade, wherein more advanced lessons about fractions are introduced.

  20. Grade 5 Multiples And Factors Worksheets

    Grade 5 Multiples And Factors - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Multiples of whole numbers work, Listing the factors es1, Grade 6 factors and multiples, Factors multiples, Grade 5 multiplication work, Multiples, Multiples word problems involving, Least common multiples.

  21. Multiples of Whole Numbers Worksheets

    Students find the first 5 multiples of numbers between 2-10 or 2-20. Base number 2-10: Worksheet #1. 5 More. Base number 2-20: Worksheet #3 Worksheet #4. 5 More.

  22. Factors and Multiples online worksheet

    Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher. ... Grade 5. Language: English (en) ID: 265687. 09/06/2020. Country code: IN. Country: India. School subject: Math (1061955) Main content: Factors and multiples (2012092) Select yes ...