Question

Is 1188 a perfect cube?if not by which smallest natural number should 1100 be divided so that the quotient is a perfect cube

Answer 1

No 1188 is not a perfect cube. 1100 should be divided with1100 itself because on taking the prime factors of 1100, the result is 2*2*5*5*11 These are not in a pair of three so we have to divide the no so that it become a pair of three or all these are eliminated. so 1100 should be divided by 2*2*5*5*11 which is equal to 1100