Question : What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?
Option 1: 25
Option 2: 5
Option 3: 2
Option 4: 3
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Correct Answer: 5
Solution : We know, a perfect cube has multiples of 3 as powers of prime factors. So, 625 = 5 4 Hence, 625 can be made a perfect cube by dividing it by 5. After dividing 625 by 5 we get 125 = 5 3 Hence, the correct answer is 5.
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