document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=474908>Question 474908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a positive integer n is divided by 6, the remainder is 2. What is the remainder when 7n is divided by 3?\r<BR>\n" );
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document.write( "Please explain how I could approach and solve this, thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325654 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325654\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that n &#8801; 2 (mod 3) because n can equal anything in {2, 8, 14, ...} and all of these numbers are 2 modulo 3. If n &#8801; 2 (mod 3) then 7n &#8801; 14 &#8801; 2 (mod 3) (hence, the remainder is 2).\r<BR>\n" );
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document.write( "Try this with various values of n and you will see that the remainder is always 2. </SPAN>\n" );
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