Question

Find the smallest number by which 2560 must be divided so that the product will be a Perfect cube

Answer 1

2 is the smallest number by which it divide

Answer 2

2560 = 5×2×2×2×8×8

Since 5 is not in pairs of three , hence we divide the number by 5 so that every number left is in pair and the number obtained is a perfect cube

We can check it too

Dividing by 5, we get

512  which is a perfect cube of 8

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