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Question

Which of the following numbers is not a perfect cube ?


A

216

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B

567

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C

125

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D

343

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Solution

The correct option is B

567


Finding the perfect cube of a number:

Prime factorization of 567 is

567=9×9×7

Here, 567 does not have triplets factors. So, 567 is not a perfect cube.

Prime factorization of others number are ,

216=6×6×6125=5×5×5343=7×7×7

As these numbers have triplets factors. So, they are a perfect cube.

Hence, option (B) is correct.


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