Correct Answer - Option 3 : 16

**Given:**

Number 8316

Concept used:

If N be the number whose prime factorization is 2a × qb × rc

Then, total number of odd factors are (b +1)(c + 1)

Calculation:

Prime factorization of 8316

Factors are 2 × 2 × 3 × 3 × 3 × 7 × 11

⇒ 22 × 33 × 71 × 11^{1}

Total number of odd factors are

⇒ (3 + 1)(1 + 1)(1 + 1)

⇒ 4 × 2 × 2 = 16

∴ The total number of odd factors of 8136 is 16.