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Find the smallest number by which the given number must be multiplied so that the product become a perfect cube: $6125$.
Given: A number $61254.
To do: To find the smallest number by which the given number must be multiplied so that the product become a perfect cube.
Solution:
Given number$=61254
On factorizing the given number,
$6125=\underline{5\times5\times5}\times7\times7$
When the given number is multiplied by $7$, it becomes:
$6125\times7=42875$
$42875=35\times35\times35$
Thus, the given number $6125$ must be multiplied by $7$ so that it becomes perfect cube.
Updated on: 10-Oct-2022
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