How many factors of 878800000 are odd number?

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30 Aug 2017 Factors

How many factors of 878800000 are odd number?

OPtion

1) 8
2) 30
3) 18
4) 12
5) 25
6) 16
7) 36
8) 32
9) 48
10) None of these

Solution

878800000 = 2^7* 5^5 * 13^3

Any factor of this number should be of the form 2^a * 5^b * 13^c.

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

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

Total number of odd factor = 6*4 = 24

Correct Option: 10 Best Solution (5)