For any practical purpose, it is easier to simply divide, instead of looking for fancy divisibility rules. However, you can apply the divisibility rules for 3 and for 7. This works because (a) their product is 21, and (b) these numbers are relatively prime.
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A number is a multiple of 21 if the difference between twice the last digit and the rest of the number is a multiple of 21
105 is a multiple of 21 because 10 - 5 x 2 = 0 and 0 is a multiple of 21
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a number is divisible by 12 if the number is also divisible by both 3 and 7. You mean a number is divisible by 21 if it is divisible by 3 and 7.
There is no divisibility rule for 13 because it is a prime number. If you are thinking: why is there a divsibility rule for 2 and 3 then. Well, i don't know so go look it up on google.
3 - 31
It is 3 6 9