The total number of odd factors of 2⁵ × 3³ × 5² is:
2017
The total number of odd factors of 2⁵ × 3³ × 5² is:
- A.
12
- B.
10
- C.
6
- D.
15
Attempted by 323 students.
Show answer & explanation
Correct answer: A
Given number:
2⁵ × 3³ × 5²
We need the number of odd factors.
Odd factors cannot contain the factor 2.
So consider only:
3³ × 5²
Number of factors formula:
If N = aᵐ × bⁿ
Then number of factors:
= (m + 1)(n + 1)
Therefore,
Number of odd factors:
= (3 + 1)(2 + 1)
= 4 × 3
= 12