find the smallest number by which 1600 must be multiplied so that the product is a perfect cube
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What is the smallest number by which 1600 must be divided so that the quotient is a perfect cube?
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Firstly we need to factorize the number 1600
After factorization we get,
⇒1600=
2∗2∗2
∗
2∗2∗2
∗
5∗5
We need to group the expanded numbers in a group of three since it has to be a perfect cube.
The number 5 does not form a triplet. It contains only two 5
′
s. Hence the number 5×5=25 has to be divided so that the quotient becomes a perfect cube.
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