document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416822>Question 416822</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the greatest four-digit number that has exactly three positive factors. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291926 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=291926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it has an odd number of positive factors the number must be a perfect square, as one of its factors will be duplicated, reducing the number of factors by 1. Hence we are looking for the perfect square less than 10000, or 100^2. Therefore, 99^2 = 9801 is the greatest such four-digit number. </SPAN>\n" );
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