Factors of 72

Factoring Factors of 72 in pairs

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Factors of 72

=1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 72 that add up to numbers

Factors of 72 that add up to 195 =1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 72

Factors of 72 that add up to 3 = 1 + 2

Factors of 72 that add up to 6 = 1 + 2 + 3

Factors of 72 that add up to 10 = 1 + 2 + 3 + 4

Factor of 72 in pairs

1 x 72, 2 x 36, 3 x 24, 4 x 18, 6 x 12, 8 x 9, 9 x 8, 12 x 6, 18 x 4, 24 x 3, 36 x 2, 72 x 1

1 and 72 are a factor pair of 72 since 1 x 72= 72

2 and 36 are a factor pair of 72 since 2 x 36= 72

3 and 24 are a factor pair of 72 since 3 x 24= 72

4 and 18 are a factor pair of 72 since 4 x 18= 72

6 and 12 are a factor pair of 72 since 6 x 12= 72

8 and 9 are a factor pair of 72 since 8 x 9= 72

9 and 8 are a factor pair of 72 since 9 x 8= 72

12 and 6 are a factor pair of 72 since 12 x 6= 72

18 and 4 are a factor pair of 72 since 18 x 4= 72

24 and 3 are a factor pair of 72 since 24 x 3= 72

36 and 2 are a factor pair of 72 since 36 x 2= 72

72 and 1 are a factor pair of 72 since 72 x 1= 72







Solution

Converting factors of 72

Factors are numbers that can divide without remainder.

Factors of 72

72/1 = 72         gives remainder 0 and so are divisible by 1
72/2 = 36         gives remainder 0 and so are divisible by 2
72/3 = 24         gives remainder 0 and so are divisible by 3
72/4 = 18         gives remainder 0 and so are divisible by 4
72/6 = 12         gives remainder 0 and so are divisible by 6
72/8 = 9         gives remainder 0 and so are divisible by 8
72/9 = 8         gives remainder 0 and so are divisible by 9
72/12 = 6         gives remainder 0 and so are divisible by 12
72/18 = 4         gives remainder 0 and so are divisible by 18
72/24 = 3         gives remainder 0 and so are divisible by 24
72/36 = 2         gives remainder 0 and so are divisible by 36
72/72 = 1         gives remainder 0 and so are divisible by 72


We get factors of 72 numbers by finding numbers that can divide 72 without remainder or alternatively numbers that can multiply together to equal the target number being converted.

In considering numbers than can divide 72 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 72

Getting factors is done by dividing 72 with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

72  73  74  75  76  

74  75  76  77  78