Question

What are all the factors of $72$$?$

Answer 1

Find all the factors of $72$:

Factors of $72$ are the numbers that divide $72$ without leaving any remainder.

Step-1: Since $1\times 72=72$, so put these numbers in the factor list:

$1............72.$

Step-2: Since $2\times 36=72$, add these number to the factor list:

$1,2,........36,72.$

Step-3: Since $3\times 24=72$, add these number to the factor list:

$1,2,3,.......24,36,72.$

Step- 4: Since $4\times 18=72$, add these number to the factor list:

$1,2,3,4,......18,24,36,72.$

Step-5: Since $6\times 12=72$, add these number to the factor list: ($5$ is not a factor of $72$)

$1,2,3,4,6,12,...18,24,36,72.$

Step-7: Since $8\times 9=72$, add these number to the factor list: ($7$ is not a factor of $72$)

Step-8: $9\times 8=72$ but these numbers are present in the list.

So, all the factors of $72$ are in the list:

Hence, all the factors of $72$ are $\mathbf{1}\mathbf{,}\mathbf{}\mathbf{2}\mathbf{,}\mathbf{}\mathbf{3}\mathbf{,}\mathbf{}\mathbf{4}\mathbf{,}\mathbf{}\mathbf{6}\mathbf{,}\mathbf{}\mathbf{8}\mathbf{,}\mathbf{}\mathbf{9}\mathbf{,}\mathbf{}\mathbf{12}\mathbf{,}\mathbf{}\mathbf{18}\mathbf{,}\mathbf{}\mathbf{24}\mathbf{,}\mathbf{}\mathbf{36}\mathbf{,}\mathbf{}\mathbf{72}\mathbf{.}$