Question

2. Find the number of odd divisors of 360​

Answer 1

Step-by-step explanation:

The number 360 is divisible 1.

The sum of the digits is 9 . So it is divisible by 3 and 9.

It's ones digits is 0 . So it is divisible by 5.

Again 36 - twice it's ones digit = 36 , which is not divisible by 7. So it is not divisible by 7

The difference of the sum of the digits in even places and odd places is not divisible by 11. So it is not divisible by 11

Clearly it is not divisible by 13.

Since it is divisible by both

3 and 5 it is divisible by 15

It is not divisible by 17.

19^2 is greater than 360. So required odd divisors are 1,3,5,9,15