Maths-
General
Easy
Question
Find the least number by which 85750 must be divided so that the quotient is a perfect cube?
Hint:
Hint :- By prime Factorize the given number and we find the number to be divided so that the quotient is a perfect cube.
The correct answer is: 2
Explanation :-
Let's find the prime factorization of your number 85750
85750 = 2 × 42875
= 2 × 5 × 8575
= 2 × 5 × 5 × 1715
= 2 × 5 × 5 × 5 × 343
= 2 × 5 × 5 × 5 × 7 49
= 2 × 5 × 5 × 5 × 7 × 7 × 7
= 
we know that the number 
is a perfect cube .So we need to divide 85750 by 2 to make the quotient a perfect cube
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