M4maths Previous Puzzles

26 Oct 2017 Factors

How many factors of 82044596000 are odd number?

OPtion

1) 12
2) 8
3) 16
4) 18
5) 25
6) 15
7) 30
8) 40
9) 24
10) None of these

Solution

82044596000 = 2^5 * 5^3 * 29^5

Any factor of this number should be of the form 2^a * 5^b * 129^c.

For the factor to be a odd number a should be 0

b can take values 0, 1, 2, 3
and c can take values 0, 1, 2, 3, 4, 5

Total number of odd factor = 4 * 6 = 24

Correct Option: 9 Best Solution (0)