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# What are Factors and Multiples?

Maths | 7-14 yrs | Reading Pod, Learning Pod, Interactive

### Definition of Multiple

A multiple is the result of multiplying a number by an integer, not a fraction.

For example
18 is a multiple of 3, because 3 x 6 = 18
Similarly, – 12 is a multiple of 3, because 3 x -4 = 12
7 however is not a multiple of 3.

## Difference between Factors and Multiples

Factors and Multiples – Both of these are related to multiplication.

While factors are what you multiply to get a number, multiples on the other hand are what you get after multiplying a number by an integer.

## What are Factors?

Factors are numbers which are multiplied together to get another number.

For example

3 x 4 = 12 (Number 3 and 4 are therefore factors of number 12)

And if you did not know, negative numbers also can be factors. So if 12 was the chosen number, -1, -2, -3, -4, -5, -6, -12 could also be factors of 12.

## What are Multiples?

A multiple as you know is the result of multiplying a number by an integer.

Let us look at an example.

Multiples of 3
12 is a multiple of 3, because 3 x 4 = 12
-3 is a multiple of 3, because 3 x -1 = -3

So you know now, that you have to multiple by an integer, but the number that is multiplied can be anything.