Question

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

Options

• 1

• 2

• 4

• 6

Answer 1

Using the factor tree for prime factorization, we have:

Therefore,

`196 = 2xx2xx7xx7`

`196 = 2^2xx7^2`

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

Thus the sum of the exponents is  `4`

Hence the correct choice is (c).