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

To find the sum of the exponents of the prime factors in the prime factorization of 196, we first need to determine the prime factorization of 196.

The prime factorization of 196 can be found by dividing it by prime numbers starting from 2.

196 divided by 2 is 98, which can be divided by 2 again to give 49.

49 is a perfect square, so its prime factorization is 7 * 7.

Therefore, the prime factorization of 196 is 2 * 2 * 7 * 7.

To find the sum of the exponents, we add up the exponents of each prime factor.

For the prime factor 2, the exponent is 2.

For the prime factor 7, the exponent is also 2.

Adding these exponents together, we get 2 + 2 = 4.

So, the sum of the exponents of the prime factors in the prime factorization of 196 is 4.