## Decimals

A factor of a number can be divided exactly into it, with no remainder. This is useful when 'simplifying' fractions.

When a number is divided by one of its factors, the answer is a whole number. The factor divides the whole number exactly; there is no remainder.

Note: The number itself and 1 are always factors.

Numbers |
Factors |
---|---|

246 |
2, 3, 6, 41, 82 and 123 |

390 |
2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, and 195 |

70 |
2, 5, 7, 10, 14 and 35 |

Look at the first example in the table and note:

**246** is divided by **2** to get **123** with no remainder - **2** is a factor of **246
246** is divided by

**3**to get

**82**with no remainder -

**3**is a factor of

**246**

246is divided by

246

**4**to get

**61**with a remainder of

**2**-

**4**is NOT a factor of

**246**

246is divided by

246

**6**to get

**41**with no remainder -

**6**is a factor of

**246**