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Q.

What is the square root of the 484 by prime factorization method?


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a

20

b

21

c

22

d

23 

answer is C.

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Detailed Solution

The given number is 484.
Now, using prime factorization, represent the supplied number as a product of the prime factors, and create the pairs of related factors such that the two factors in each pair are equal.
⇒484=2×2×11×11= 2 2 × 11 2   The number is perfect square if there are no extra factors in the grouping (pairs).
⇒ 484 =2×11=22   Thus, 22 is the square root of 484.
Therefore, option 3 is correct.
 
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