What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?


24 = 2 × 2 × 2 × 3


In a perfect square, all the prime factors occur in pairs.


In 2 × 2 × 2 × 3, 2 occurs in a pair, and only one each of 2 and 3 remains unpaired.

So, the least positive integer by which 24 should be divided to get a perfect square = 2 × 3 = 6.



What is the least positive integer by which 224 should be divided so that the resulting integer is a perfect square?


The least positive integer =



The resultant integer =

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