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You can tell it will be even when the number you are multiplying has a 2 4 6 8.

You can tell it will be odd when the number you are multiplying has a 1 3 5 7.

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Q: How can you tell whether the product of a multiplication problem will be odd or even?
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whenever you add an even number the answer will be the same (odd/even) as the other number


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The product of two even numbers is always an even number.Here is the proof:We define an even number as a number of the form 2n for some integer n.Now let 2n be one even number and 2m be another.The product is (2n)(2m)=2(2mn) and of course 2mn is an integer since the integers are closed under multiplication. Hence, 2(2mn) is an even number.


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