Question

What least number must be divided from 8192 to make it a perfect cube?​

Answer 1

 

$\displaystyle\bf\\8192 = 2^{13}~~~It~is~not~a~perfect~cube,~but~2^{12}~is~a~perfect~cube.\\\\\implies~We~have~to~divide~the~number~8192~by~2.\\\\\frac{8192}{2}=4096=2^{12}=2^{4\times3}=\big(2^4\big)^3=16^3=perfect~cube$