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Question

Find the smallest number by which 8788 be divided so that the quotient is a perfect cube.

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Solution

8788 = 2×2×13×13×13

8788 =2²×13³

8788 = 4×13³

8788/4 = 13³

so the smallest number by which 8788 be divided so that the quotient is a perfect cube is
4

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