Question : Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube?
Subject

Mathematics

Standard

Class 8

Views

1102

Asked By

Chakrika

Knowledge
Answer / Solution

First, we factorisation, 68600 i.e. 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7.

In this factorization, we find that there is a triplet of 2 and 7 but no triplet of 5. Therefore, 68600 is not a perfect cube.

To make 68600 a perfect cube we multiply it by 5.

Thus, 68600 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 = 343000, which is a perfect cube.


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