document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955596>Question 955596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the smallest positive integer with at least 100 positive integral factors? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802148 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=802148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a, b, c etc are unique primes, then the number has (a+1)(b+1)(c+1)... factors.\r<BR>\n" );
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document.write( "100 = 2^2 * 5^2 = (1+1)(4+1)\r<BR>\n" );
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document.write( "Pick the smallest primes: 2^4 * 3^4 * 5 * 7 = 45,360 </SPAN>\n" );
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