## Properties of Numbers – factors, multiples and prime numbers

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# Factors

Factors are numbers that divide **exactly** into another number.

The factors of 12, for example, are 1, 2, 3, 4, 6 and 12.

Factors can be shown in **pairs**. The factors of 12 can be shown:

- 1 and 12 1 x 12 = 12
- 2 and 6 2 x 6 = 12
- 3 and 4 3 x 4 = 12

Each pair multiplies to make 12.

# Multiples

Multiples are really just extended times tables.

- The
**multiples of 2**are all the numbers in the 2 times table:

2, 4, 6, 8, 10 and so on.

Multiples of 2 always end with a 2, 4, 6, 8 or 0. You can tell 2286, for example, is a multiple of 2 because it ends with a 6. - The
**multiples of 5**are all the numbers in the 5 times table:

5, 10, 15, 20, 25 and so on.

Multiples of 5 always end with a 5 or a 0. You can tell 465, for example, is a multiple of 5 because it ends with a 5. - The
**multiples of 10**are all the numbers in the 10 times table:

10, 20, 30, 40, 50 and so on.

Multiples of 10 always end with a 0. You can tell 3780, for example, is a multiple of 10 because it ends with a 0.

This quiz will test your multiple and factor knowledge