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Prime Factorisation Method to Find a Cube

The least num...

Question

The least number by which 392 must be multiplied with to make it a perfect cube =

A

4

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B

7

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C

2

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Solution

The correct option is B 7
$\begin{matrix} 2 & 392 2 & 196 2 & 98 7 & 49 7 \end{matrix}$

Prime factor of 392 = 2 × 2 × 2 × 7 × 7

To make it a perfect cube we need to multiply it with 7.

392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744

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