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Q.

What is the least number by which 125 can be multiplied to make it a perfect square?


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a

4

b

6

c

7

d

5 

answer is D.

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Detailed Solution

The given number is 125.
Now, using prime factorization, express 125 as the product of two prime factors, and create similar factor pairs where the two factors in each pair are equal. ⇒125=5×5×5= 5 2 ×5  
The number 5 is the least number by which 125 must be multiplied to make it a perfect square because it is not in pair form.
Therefore, option 4 is correct.
 
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