document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620548>Question 620548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the largest 5-digit palindrome that is divisoble by 101. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390266 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "We need to find a 3 digit number ABC such that ABC times 101 is a five-digit palindrome.\r<BR>\n" );
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document.write( "In order for the product to be a palindrome given that one of the factors (101) is a palindrome, the other factor must be a palindrome also, hence we are actually looking for a three digit factor ABA.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ABA\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \times\ \underline{1\ 0\ 1}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ABA\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ \underline{ABA\ \ }\">\r<BR>\n" );
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document.write( "And the product will be a palindrome if and only if there is no carry when you add A + A.  Hence, the largest A can be is 4.  Find the largest 3 digit palindrome where the first and last digit is 4, then multiply that times 101 to find your largest 5 digit palindrome.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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