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Question

The sum of the exponents of the prime factors in the prime factorisation of 196, is

(a) 1
(b) 2
(c) 4
(d) 6

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Solution

Using the factor tree for prime factorization, we have:

Therefore,

The exponents of 2 and 7 are 2 and 2 respectively.

Thus the sum of the exponents is

Hence the correct choice is (c).


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