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Find the smallest number by which the given number must be multiplied so that the product become a perfect cube : 128
Given: A number $128$.
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: $128$
On factorization,
$128=2\times2\times2\times2\times2\times2\times2$
$\Rightarrow 128=\underline{2\times2\times2}\times\underline{2\times2\times2}\times2$
$\Rightarrow 128=2^3\times2^3\times2$
Thus, number $128$ should be multiplied by $( 2\times2=4)$ to make it perfect cube.
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