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Yes, assuming you're multiplying it by another integer. By definition, an even number is a multiple of two. When you multiply it be another round number, that even number becomes a factor of the result. That means any factors of that even number (one of them being two), will also be factors of the result, thus giving you another even number.

If however you multiply by a non-integer, you may very well end up with something that is not an even number. For example, 6 is an even number, but 6 × 1.5 will give you 9, which is not an even number.

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Q: Are the multiples of an even number always even?
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Are the multiples of even number always even?

Yes, integer multiples of even numbers are always even.


Why are the multiples of 4 always even?

4 is an even number. The multiples can only be even.


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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.


When a number is doubled it is always even why?

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