## What is a factor?

A factor of a number is any amount that divides into that number exactly, leaving no remainder.
e.g. 2 is a factor of 12, because 2 goes into 12 six times (2 x 6 = 12). This means that 6 is also a factor of 12. Every number has the factors 1 and the number itself. e.g. 1 x 12 = 12, so 1 and 12 are also factors of 12. We usually list factors in ascending order (smallest to largest). e.g. The factors of 12 are 1, 2, 3, 4, 6, 12. Some numbers only have two factors. These are called prime numbers. Square numbers always have an odd number of factors. This is because one of the factors is repeated. e.g. Factors of 16 are 1, 2, 4, 8 and 16. 16 is a square number, because 4 x 4 = 16. |

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## External links

- IXL: Online questions with solutions
- Mathscreencasthelp: Using the "rainbow method" to find all the factors of a number (video via YouTube)