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# Factors of a Number

10

Factors

Number

#### Factors

###### The factors of a number are the numbers that will divide into that number and

###### leave no remainder. This, of course, includes 1 and the number youâ€™re

###### interested in - which happen to be the numbers you start with when working

###### out factors of a number.

##### How to...

###### Find the factors of 90

###### 1. Make a list starting with â€˜1 times 90â€™.

###### 2. Find the next number that will divide exactly into 90 and write it as your

###### second â€˜list itemâ€™ (â€˜2 x 45â€™).

###### 3. Continue but stop when your numbers begin to repeat. (Below, the next

###### item after â€˜9 x 10â€™ would be â€™10 x 9â€™ - a repeat!

###### 4. Write down the numbers in order from smallest to largest. Here Iâ€™ve just

###### gone down the left and up the right, following the direction of the red

###### arrows, to ensure all the numbers are in ascending order.

###### 5. To check, each rowâ€™s numbers, when multiplied together, should give 90

###### as the product.

##### The factors of 90 are:

##### 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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