Q6 of 76 Page 4

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 =


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