document.write( "Question 267355: Given:n squared is even
\n" ); document.write( "prove: n squared is divisible by 4 \n" ); document.write( "

Algebra.Com's Answer #196240 by Alan3354(69443) $\"\"$ $\"About$

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Given:n squared is even
\n" ); document.write( "prove: n squared is divisible by 4
\n" ); document.write( "-------------
\n" ); document.write( "Odd numbers squared are odd.
\n" ); document.write( "If n^2 is even, it's the square of an even number.
\n" ); document.write( "Any even number is 2 times some other integer, say m.
\n" ); document.write( " $\"%282m%29%5E2+=+4m%5E2\"$
\n" ); document.write( "4m^2 is divisible by 4
\n" ); document.write( " \n" ); document.write( "

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