SOLUTION: My daughter has a home work question which I am not sure where to start with please can you assist? Question Any square number which is even is always a multiple of 4, please

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Question 647642: My daughter has a home work question which I am not sure where to start with please can you assist?
Question
Any square number which is even is always a multiple of 4, please explain why using algebra
Many thanks
Mark
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If the square number is even, then
it can be expressed as +%28+2n%29%5E2+
Because if it's square is even, the number
must be even.
+%282n%29%5E2+=+4%2An%5E2+
So, +4%2An%5E2+ is the square number and
is obviously divisible by +4+

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

Any square number which is even is always a multiple of 4, please explain why using algebra
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An even number has the form 2n
%282n%29%5E2+=+4n%5E2 which has a factor of 4.