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

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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

\times

\times

\times

7
196 =

2^{2} \times 7^{2}

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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