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.

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.

MULTIPLES

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.

Examples

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.

Examples

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.

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

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

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

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.

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

Using these sheets will help your child to:

- 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.

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

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

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

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.

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.

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.

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

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