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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.
Factors of numbers are divisible by them with no remainders
You use divisibility rules t determine whether a particular number is (or is not) a factor of another number. If it is a factor, you can reduce the numbers involved to smaller numbers.You might want to find factors to simplify fractions or to add or subtract factions.
It is divisible by any of its factors which are: 1, 3, 31 and 93
A number is a multiple of 312 if it's a multiple of 3, 8 and 13 at the same time