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Prove that the product of an odd number with an even number is an even number.

Prove that the square of any even number is a multiple of the number 4.

 Jan 27, 2021
 #1
avatar+425 
+2

A even number will have a factor of 2, and any number with 2 as a factor will be even. 

So if your multiply a number with another number that has the factor 2, it'll also have the factor 2, making it even. 

 

So if a even number has the factor 2, then if it's squared it has the factor 2^2 = 4, meaning that it's a multiple of 4. 

 

I hope this helped. :)))

 

=^._.^=

 Jan 27, 2021
 #2
avatar+59 
+1

thank you!

helloguys  Jan 27, 2021

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