How Do You Check if a Number is Divisible by 2, 3, 5, 6, and 10?

For any number to be divisible by 2, it must be even
765 is not even, so it is not divisible by 2
For any number to be divisible by 3, its digits must add up to another number that's divisible by 3
765 is divisible by 3 because its digits add up to 18, a number divisible by 3
For any number to be divisible by 5, it must end in a 0 or 5
765 ends in a 5!
To be divisible by 6, a number must be divisible by 2 and 3
765 is not divisible by 2, so it's not divisible by 6
To be divisible by 10, a number must end in a 0

1. 765 is odd, so it is NOT divisible by 2
1. When you add the digits of 765, they add to 18, which is divisible by 3
2. So 765 IS divisible by 3
1. 765 ends in a 5, so it IS divisible by 5
1. 765 is divisible by 3 but not by 2, so it is NOT divisible by 6
1. 765 does not end in 0, so it is NOT divisible by 10

Determine if 765 is divisible by 2, 3, 5, 6, and 10