An even number can be a multiple of an odd number OR an even number.
An odd number cannot be a multiple of an even number.
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It CAN'T be even, since the number 2 is not a factor of the odd number. "Even" means that a number is a multiple of 2.
It's just one of those laws of maths. It can be used as an indication to whether the answer could be right. It's similar to even + even = even Even + odd = odd Odd + odd = even
All multiples of 4 are even.
Odd and a multiple of three- 999
No number will produce only odd multiples, as any multiple of an even number will always be even. Proofs can be easily created of such a fact.