Multiply 210125 by the smallest number so that the product is a perfect cube. Also, find out the cube root of the product.
First we find out the prime factors of 210125,
210125 = 5 × 5 × 5 × 41 × 41
∵ one triples remained incomplete, hence 210125 is not a perfect cube.
We see that if we multiply the factors by 41, we will get 2 triples as 23 and 413.
And the product become:
210125 × 41 = 8615125 = 5 × 5 × 5 × 41 × 41 × 41
Cube root of product =