document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=567583>Question 567583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The positive integer N has exactly eight different positive integral factors. Two of these factors are 15 and 21. What is the value of N? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366643 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=366643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that 15 = 3*5 and 21 = 3*7. The LCM of 15 and 21 is 3*5*7 = 105, however this already has eight factors (use the algorithm for finding the # of factors of a number, add 1 to each exponent, multiply). Therefore N = 105. </SPAN>\n" );
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