Find the smallest number by which the given number must be multiplied so that the product become a perfect cube: $900$.

Given: A number: $900$.

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: $900$

On factorizing the given number:

$900=\underline{2\times2}\times\underline{5\times5}\times\underline{3\times3}$

Therefore, the required number is$=2\times5\times3$

$=30$

Thus, Given number $900$ must be multiplied by $30$ to make it perfect cube.

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Updated on: 10-Oct-2022

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