## FINDING FACTORS OF A NUMBER

Factors are numbers we can multiply together to get a number.

A multiple is the product of a number and any whole number except zero.

To find the factors of a number, we can follow the below steps

Step 1 :

Use multiplication or division facts to find factors. Start with 1 x the given number. Every counting number has at least two factor 1 and the number itself. So, 1 and 8 are factors of 8.

Step 2 :

Test other factor pairs. The only possible whole number factors of 8 are numbers from 1 to 8.

Step 3 :

Continue until the factors repeat

Note :

A factor always divides the product without a remainder.

Example 1 :

Find the factors of 45

Solution :

Factors of 45 are 1, 3, 5, 9, 15, 45.

Example 2 :

Write the factors of 15.

Solution :

15  =  1 x 15

15  =  5 x 3

Factors of 15 are 1, 3, 5 and 15.

Example 3 :

Write the factors of 18.

Solution :

18  =  1 x 18

18  =  2 x 9

18  =  3 x 6

Factors of 18 are 1, 2, 3, 6, 9 and 18.

Example 4 :

Write the factors of 35.

Solution :

35  =  1 x 35

35  =  5 x 7

Factors of 35 are 1, 5, 7 and 35.

Example 5 :

Write the factors of 120.

Solution :

120  =  1 x 120

120  =  2 x 60

120  =  3 x 40

120  =  4 x 30

120  =  5 x 24

120  =  6 x 20

120  =  8 x 15

120  =  10 x 12

120  =  12 x 10

Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12 and 120.

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