document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129602>Question 1129602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of all the positive divisors of a positive integer N is 6*16*36*96. What is N? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746190 by </B><A HREF=/tutors/aboutme.mpl?userid=t0hierry><B>t0hierry(194)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=t0hierry><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=t0hierry><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write n as\r<BR>\n" );
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document.write( "6*16*36*96 and again as<BR>\n" );
document.write( "96*36*16*6 \r<BR>\n" );
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document.write( "now\r<BR>\n" );
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document.write( "6*96 = 576<BR>\n" );
document.write( "16*36= 576\r<BR>\n" );
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document.write( "SO\r<BR>\n" );
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document.write( "n^2 = 576^4 = 576^(number of divisors, which is 4) and thus\r<BR>\n" );
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document.write( "n = 576^2 = 331776\r<BR>\n" );
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document.write( " </SPAN>\n" );
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