How many factors of 534534400 are odd number?

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02 May 2019 Factors

How many factors of 534534400 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

534534400 = 2^8 * 5^2 * 17^4

Any factor of this number should be of the form 3^a * 5^b * 17^c.

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

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

Total number of odd factor = 3 * 5 = 15

Correct Option: 6 Best Solution (2)