Question

find the smallest number which when multiplied with 137592 will make the product a perfect cube. further find the cube root of the products​

Answer 1

Answer:

The prime factors for 137592= 2×2×2×3×3×3×7×7×13

=(2×2×2)×(3×3×3)×(7×7)×(13)

For it to become a perfect cube, we need 7, 13 ,13.

Therefore 7×13×13= 1183 is the smallest number.

Cube root of product= 2×3×7×13=546

Hope it helps you...