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Q.

What is the least number to be multiplied with 294 to make it a perfect square?


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a

4

b

6

c

7

d

8 

answer is B.

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Detailed Solution

The given number is 294.
It is required to find the least number to be multiplied with 294 to make it a perfect square.
Making use of prime factorization, represent the provided number as a product of similar prime factors, then create pairs of similar factors where the two factors in each pair are identical.
⇒294=2×3×7×7=2×3× 7 2  
The number is not a perfect square because two elements, 2 and 3, are left over in grouping (pairs). So, multiplying 2 and 3 is required.
As a result, 6 needs to be multiplied by 294 the fewest times to form a perfect square.
Therefore, option 2 is correct.
 
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What is the least number to be multiplied with 294 to make it a perfect square?