Question

find the smallest number by which 68600 must be divided to get a perfect cube.

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Answer 1

The prime factorisation of 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7. In this factorisation, we find that there is no triplet of 5. So, 68600 is not a perfect cube. To make it a perfect cube we multiply it by 5.

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