Find the smallest number by which the given number must be multiplied so that the product become a perfect cube: $72$.

Given: A number: $72$.

To do: To find the smallest number by which the given number must be multiplied so that the product become a perfect cube.

Solution:

Given number: $72$

On factorization:

$72=\underline{2\times2\times2}\times3\times3$

Thus, we need $3$, by which the given number $72$ must be multiplied so that the product become a perfect cube.