The least integer whose multiplication with 588 leads to a perfect square is

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Q: 16 (CAPF/2013)
The least integer whose multiplication with 588 leads to a perfect square is

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,14,11,4,14,2,5

keywords: 

{'perfect square': [0, 0, 0, 2], 'least integer': [0, 0, 0, 1], 'multiplication': [1, 0, 0, 1]}

The question asks for the least integer that, when multiplied by 588, will result in a perfect square. We can approach this problem by finding the prime factors of 588 and examining each option.

Option 1: Multiplying 2 by 588 gives us 1176, which is not a perfect square.

Option 2: Multiplying 3 by 588 gives us 1764, which is a perfect square (42^2). This matches the correct answer provided.

Option 3: Multiplying 4 by 588 gives us 2352, which is not a perfect square.

Option 4: Multiplying 7 by 588 gives us 4116, which is not a perfect square.

Therefore, the correct answer is option 2, where the least integer that, when multiplied by 588, leads to a perfect square, is 3.

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