Question

By what smallest number should we multiply 8788 so that the product becomes a perfect cube. Find the cube root of the product

• A. 2, 26
• B. 2, 6
• C. 22, 26
• D. 22, 21

Answer 1

The correct option is A 2, 26

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

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

To make a perfect cube, we need to have 3 multiples of prime factors.

i.e. we multiply the number by 2

New number $=17576$

$\sqrt[3]{317576}=26$