What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also, find the cube root of the quotient so obtained.

Question

Philoid · Accepted Answer

First we find out prime factors of 8192,

8192 =

∵ one triples remain incomplete, hence 8192 is not a perfect cube.

So, we divide 8192 by 2 to make its quotient a perfect cube.

=

Cube root of 4096 =