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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


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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