Question

Find the smallest number by which 8788 must be divided so that the quotient will be a perfect cube.

• A. 4
• B. 3
• C. 5
• D. 6

Answer 1

The correct option is A

4

$8788=2\times 2\times 13\times 13\times 13$

$=2^2\times {13}^3$

For a perfect cube, all prime factors should form the triplet. Here 2's are not forming the triplet.

$\Rightarrow 8788÷2^2={13}^3$ which is a perfect cube.

Thus, in order to get a perfect cube, $8788$ must be divided by $2^2$ which is 4