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Q.

Find the sum of the exponents of the prime factors in the prime factorisation of 196.

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a

2

b

3

c

4

d

5 

answer is B.

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Detailed Solution

The given number is 196.
Factorisation of 196=2×2×7×7
⇒196=22×72 Here, prime factors are 2 and 7 and their exponents are 2 and 2 respectively.
So, sum of exponents of prime factors =2+2
⇒ Sum of exponents of prime factors =4
Therefore, the sum of the exponents of the prime factors in the prime factorisation of 196 is 4.
Hence, option 2 is correct.
 
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