Question

IS 68600 A PERFECT CUBE?IF NOT FIND THE SMALLEST NUMBER BY WHICH 68600 BE MULTIPLIED SO AS TO GET A PERFECT CUBE?

Answer 1

it's a perfect and perfect cube

Answer 2

Solution

We how 68600 a perfect cube =2×2×2×5×5×7×7×7.

In this factorisation, we find that there is no triplet of 5.

So, 68600 is not a perfect cube. To make it as perfect cube we multiply it by 5.

Thus, 68600×5=

$68600 \times 5 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 7 \times 7 \times 7$

$= 343000 \: which \: is \: a \: perfect \: cube.$

Observe that 343 is a perfect cube. For example 5 we know that 343000 is also a perfect cube.