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Question

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


A

4

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B

3

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C

5

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D

6

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Solution

The correct option is A

4


8788=2×2×13×13×13

=22×133

For a perfect cube, all prime factors should form the triplet. Here 2's are not forming the triplet.

8788÷22=133 which is a perfect cube.

Thus, in order to get a perfect cube, 8788 must be divided by 22 which is 4


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