Question

1. Multiply 137592 by the smallest number so that product is a perfect cube number. Also find the cube root of the product.
Plz tell

Answer 1

The prime Factors of 137592

$= > 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 7 \times 7 \times 13$

$= > (2 \times 2 \times 2) \times (3 \times 3 \times 3) \times (7 \times 7) \times 13$

An extra 7 and 13, 13 are to be added to become a perfect cube, 

$7 \times 7 \times 13 = 1183$

Cube root of the product

$= 2 \times 3 \times 7 \times 13 = 546$