Question

Find the smallest number by which 8768 must be divided so that the quotient is a perfect cube.

Answer 1

The prime factor of 8768 are

2	8768
2	4384
2	2192
2	1096
2	548
2	274
137	137
	1

 

 

 

 

 

 

 

 

= 2 x 2 x 2 x 2 x 2 x 2 x 137
= (2 x 2 x 2) x (2 x 2 x 2) x 137
Clearly, 8768 must be divided by 137.