Question

divide the number 26244 by the smallest number so that the quotient is a perfect cube . also find the cube root of the quotient.

Answer 1

$26244 = 2 * 2 * 3^{8} = 2* 2* 3^{2} * 3^{6}$

quotient is perfect cube of 3² and number is 2*2*3² = 36