Question

Is 1188 is a perfect cube ? If not, by which smallest should be divided to get perfect cube?​

Answer 1

1188=2×2×3×3×3 ×11

As there are only two of 2's and one of 11's 1188 cannot be a perfect cube.

For it to be a perfect cube 1188 should be divided by 2x2x11 so as to eliminate the non-cubic factors.

1188/44 = 27

27 is a perfect cube

Hence the required number is 44

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