Q16 of 45 Page 7

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.

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 =

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