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Q.

Write the sum of the powers of prime factors of 196.


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a

7

b

4

c

5

d

6 

answer is B.

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Detailed Solution

Concept: First we need to find the factors of 196 by prime factorisation then we will see the power of all the factors and then add them up.
So,
196 =2×2×7×7
196 =22×72
Exponents of 2 and 7 will be 2 and 2 respectively.
Sum of the powers is 2 + 2 = 4
Thus the sum of the exponents is
Hence, the correct option is 2.
 
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