Question

Find the smallest number by which 1188 must be divided to obtain a perfect cube also find the cube root of the perfect cube

Answer 1

Answer:

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. And the resulting perfect cube is 1188 ÷ 44 = 27 (=33).