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Find the Multiples

In this worksheet, students will learn how to find multiples of numbers.

Worksheet Overview

In this activity, we're going to be finding the multiples of numbers.

Now, the first thing we need to sort out is "What is a multiple?"


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Multiples are simply the answers to any times table question! 


The first six multiples of 3 are: 3, 6, 9, 12, 15, 18...

The first six multiples of 5 are: 5, 10, 15, 20, 25, 30 ...

The first six multiples of 7 are: 7, 14, 21, 28,  35, 42 ...


To find the multiples of any number, we need to know our times tables.


We might be asked to find particular multiples:

Find the first three multiples of 2:  2, 4, 6

Find all multiples of 2 between 10 and 20: 12, 14, 16, 18 (not 10 or 20 because the question asks us to find numbers 'between' not 'including')


Sometimes, we may be asked to find common multiples of a pair of numbers.

This is easier than it sounds.

A common multiple is simply a multiple that is in both times tables.


Let's have a look at an example:


Find two common multiples of 3 and 5

First, let's write out the tables.


Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...


We can see that the numbers 15 and 30 are in both times tables (they are common to both).


Now why don't you have a go at finding some multiples and common multiples?


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Come back and have a look at this page if you get stuck by clicking on the red help button on the screen.

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