Question

Find out the smallest number by which following numbers must be divided to get the perfect cube. 

(i) 24 

(ii) 250

Answer 1

(i) 24 

Resolving 24 into Prime factors as follows

Here, factor 3 is not in group of three so 24 is not a perfect cube. 

Therefore, the smallest number by which us should be divided to make it a perfect cube is 3.

(ii) 250 

Resolving 250 into Prime factors as follows

Here, factor 2 is not in group of three. 

∴ The smallest number by which 250 should be divided to make it a perfect cube is 2.