Let S be the set of all non-negative multiples of 4 (0,4,8,12 and so on). S is closed with respect to which ordinary operation?

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Let S be the set of all non-negative multiples of 4 (0,4,8,12 and so on). S is closed with respect to which ordinary operation?

Mathematics
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addition if you add two multiples of 4 then you will get a multiple of 4 for a sort of proof let A and B be constants , therefore the sum of two multiples of 4 is given by S = 4A + 4B = 4 (A+B ) , which is indeed another multiple of 4
Also , 4A x 4B = 16AB = (4AB) x (4)
so it is also closed under multiplication and since addition and subtraction are opposites and multiplication and divisions are opposites then it is closed under all operations

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