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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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โˆ™ 2009-09-25 03:00:53
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Anonymous

Lvl 1
โˆ™ 2020-10-20 15:05:28
Thanks.ย 
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Anonymous

Lvl 1
โˆ™ 2020-10-20 15:05:40
Very helpful
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