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Q: Why does a even number times a even number equal a even number?

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All multiples of even numbers will equal an even number.

Any such number will be divisible by the even number, and therefore will also be divisible by 2.

No. A given number need not even be divisible by a given prime.

even times even = even odd times odd = odd even times odd = even

yes, most of the times

An even number.

Ten times the square of a non-zero number is equal to forty times the number. What is the number?

What! Even numbers never equal an odd number. Not ever!

Will always be odd. Suppose that a number n is an odd number. Any n times 2 must equal an even number. 2n - n = n

An odd number squared would always equal an odd number and an even number squared would always equal an even

Having a factor of 2 defines an even number. Multiplying anything that has a factor of 2 by anything else will create a product that has a factor of 2, which will be by definition an even number.

Yes. Odd times odd is odd. Odd times even is even. Even times even is even.

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