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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