Which smallest number should divide 1188 so that the quotient is a perfect cube?
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The primes 2 and 11 do not appear in groups of three. So, 1188 is not a perfect cube. In the factorisation of 1188, prime 2 appears only two times and the prime 11 appears once. So, if we divide 1188 by 2 × 2 × 11 = 44, then the prime factorisation of the quotient will not contain 2 and 11. Show Hence the smallest natural number by which 1188 should be divided to make it a And the resulting perfect cube is 1188 ÷ 44 = 27 (= 33). What should be divided to make 1188 a perfect cube?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 ).
What is the smallest number that must divide 1188 to make it a perfect cube?118844 = 27 = 33.
IS 118 a perfect cube if not by which smallest number should 118 be divided so that the quotient is a perfect cube?Expert-Verified Answer
44 is the smallest natural no. so that quotient will become perfect cube...
Is 8640 is a perfect cube?8640 is not a perfect cube.
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