Correct Answer - Option 2 : 12
Concept used:
Number = ab × cd ...
Total number of factors = (b + 1)(c + 1) ...
Total number of odd factor = (c + 1) ..., if a is even prime number
Here, a and c are prime number
Calculation:
The factor of 1260 = 22 × 32 × 51 × 71
Here even prime number is 2, so we neglect the power of 2 in case of finding the total number of odd factors
Total number of odd factors = (2 + 1)(1 + 1)(1 + 1) = 3 × 2 × 2 = 12
∴ The total number of odd factors of 1260 is 12
