Question

is 1188 a perfect cube? if not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube​

Answer 1

$\huge \bf \underline{hola}$

So, if we divide 1188 by 2 × 2 × 11 = 44, then the prime factorisation of the quotient will not contain 2 and 11. Hence the smallest natural number by which 1188 should be divided to make it a perfect cube is 44.