Any multiple of two must end in 0, 2, 4, 6 or 8.
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they can help you by finding the two factors of the number given
If the number is even, it is divisible by 2. If the sum of the digits is a multiple of 3, the whole number is divisible by 3.
A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time
Knowing the divisibility rules will help you by being able to recognize if a number has factors (other than one and itself) which are covered by the rules. This will save actually having to start doing divisions.
If the number is even and the sum of its digits is divisible by nine then the number is divisible by 18.