Sorry but the list to that question goes on forever, but I can point out this: If you're dealing with a large number and you want to know if it is divisible, just add up the digits and see if that number is divisible, if you still don't know, repeat the process.
For Example:
684/3=
6+8+4=
18/3=
1+8=
9/3=
3
Yes; all numbers that are divisible by 9 are divisible by 3.
All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.
All numbers divisible by 9 are divisible by 3; since 9 = 3 x 3 all multiples of 9 are also multiples of 3. However, all numbers divisible by 3 are not divisible by 9, eg 6 = 2 x 3 but 6 is not divisible by 9 (since 6 is not a multiple of 9) - it only takes one counter example to disprove a theory.
Yes
Even numbers are divisible by 2. Even numbers that are divisible by 3 must be divisible by 2 and by 3, so they have to be divisible by 2 x 3.6, 12, 18, 24 …
Yes; all numbers that are divisible by 9 are divisible by 3.
All numbers divisible by 3 are NOT divisible by 9. As an example, 6, which is divisible by 3, is not divisible by 9. However, all numbers divisible by 9 are also divisible by 3 because 9 is divisible by 3.
5, 7, a bunch of numbers that are odd are not divisible by 3. numbers that are divisible by three can have all their numbers added together and come out with a number that is divisible by 3.
Yes. Test a couple numbers divisible by 9--27, 81--and they are all divisible by 3.
All numbers divisible by 9 are divisible by 3; since 9 = 3 x 3 all multiples of 9 are also multiples of 3. However, all numbers divisible by 3 are not divisible by 9, eg 6 = 2 x 3 but 6 is not divisible by 9 (since 6 is not a multiple of 9) - it only takes one counter example to disprove a theory.
No.
Yes
There are 151 3-digit numbers that are divisible by 6.
Not all even numbers are divisible by 6. These numbers are not evenly divisible by 6: Any number smaller than 6. Any number not divisible by 3. If a number is divisible by both 2 and 3, it is divisible by 6.
Yes, if you are referring to whole numbers.
501 is divisible by these numbers: 1, 3, 167, 501.
Talking in Integers only, then no. Example, 3 is not divisible by 6. Talking all natural numbers... then yes. 3 / 6 = 0.5