Question

By what number should 1372 be multiplied so that the product is a perfect cube. Also find the cube root of the promo obtained

Answer 1

The factors of 1372 can be written as
$1372 = 2 \times 2 \times 7 \times 7 \times 7 \\ = {2}^{2} \times {7}^{3}$
Therefore, to make it perfect cube, multiply by 2.
The cube root of resulting number will be
$\sqrt[3]{ {2}^{3} \times {7}^{3} } = 2 \times 7 = 14$