# Write the sum of the exponents of prime factors in the prime factorization of 98.

Question:

Write the sum of the exponents of prime factors in the prime factorization of 98.

Solution:

Using the factor tree for prime factorization, we have:

Therefore,

$98=2 \times 7 \times 7$

$98=2 \times 7^{2}$

The exponents of 2 and 7 are 1 and 2 respectively.

Hence the sum of the exponents is 3