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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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