Question

What is the smallest number by which 2166 may be multiplied. So, that the product is a perfect cube.

Answer 1

Step-by-step explanation:

2166 is 19*19*2*3, so to make the number a cube we have to multiply it by some number so that every prime no in the original number has a power of 3 or a multiple of it. So, if we multiply it by 19*2*2*3*3,which is 684, we get 19^3 *2^3 *3^3