In Mathematics we are currently investigating factors and multiples. We know there are quick ways to check if a number is divisible by 2, 5 or 10. Do you know any quick ways of checking whether a number is divisible by 3, 6 or 9?

For example I know that the number 8334 is divisible by 3, 6 and 9. Can you work out how I know that is true without doing a division calculation?