document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=969707>Question 969707</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Prove that the product of three consecutive positive integers<BR>\n" );
document.write( "is divisible by 6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802079 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=802079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n(n+1)(n+2)\r<BR>\n" );
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document.write( "Out of these numbers, at least one of them is even and at least one of them is a multiple of 3.\r<BR>\n" );
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document.write( "even:<BR>\n" );
document.write( "even, odd, even<BR>\n" );
document.write( "odd, even, odd\r<BR>\n" );
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document.write( "divisible by 3 (use remainders):<BR>\n" );
document.write( "0, 1, 2<BR>\n" );
document.write( "1, 2, 0<BR>\n" );
document.write( "2, 0, 1\r<BR>\n" );
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document.write( "Therefore, the product of any three consecutive integers is divisible by 6. </SPAN>\n" );
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