How many factors of 953990136 are odd numbers?

M4maths Previous Puzzles

01 Nov 2018 ODD Number

How many factors of 953990136 are odd numbers?

OPtion

1) 60
2) 36
3) 72
4) 64
5) 30
6) 54
7) 128
8) 256
9) 96
10) None of these

Solution

953990136 = 23^3 * 11^2 * 3^4 * 2^3

Any factor of this number should be of the form 23^a *11^b * 3^c * 2^d

For the factors of this number to be an odd number d should be 0

a can take values 0, 1, 2, 3
b can take values 0, 1, 2
c can take values 0, 1, 2, 3, 4
d can take values 0

Total number of odd factors = 4*3*5*1= 60

Option 1)

Correct Option: 1 Best Solution (0)