Question

what is the smallest number by which 3087 must be divided so become a perfect cube

Answer 1

Factorization of 3087=3×3×7×7×7

So here only 3 is not in cube.

Hence 3 is the only number to be multiplied to form a perfect cube number

Hence new cube number

=33×73=9261

Since the prime factor 3 do not form a triplet.

So we must divide 3087 by 3×3 that is 9 in order to make it perfect cube.

3087÷9=343 perfect cube number

Answer 2

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