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 × 111
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.
