document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242631>Question 242631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a number is divisible by both 4 and 9, by what other numbers is it divisible?Explain.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177610 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=177610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> since 9 is not a multiple of 4, the smallest number that can be divisible by 4 and 9 has to be a number that is the result of a product of 4 * 9.\r<BR>\n" );
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document.write( "if it is divisible by 4 and 9, then it has to be divisible by factors of 4 and 9.\r<BR>\n" );
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document.write( "that means it is divisible by 2 and 3 as well.\r<BR>\n" );
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document.write( "it should also be divisible by any combination of the factors of 4 and 9.\r<BR>\n" );
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document.write( "since the factors would be 2*2*3*3, then:\r<BR>\n" );
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document.write( "that would be:\r<BR>\n" );
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document.write( "2*2 = 4<BR>\n" );
document.write( "2*3 = 6<BR>\n" );
document.write( "3*3 = 9<BR>\n" );
document.write( "2*2*3 = 12<BR>\n" );
document.write( "2*3*3 = 18\r<BR>\n" );
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document.write( "4*9 * anything else would yield even more possibilities/.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "4*9*2 = 72\r<BR>\n" );
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document.write( "since there's another factor in the mix, 72 should be divisible by even more numbers that are combinations of factors of 2*2*3*3*2\r<BR>\n" );
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document.write( "those would be:\r<BR>\n" );
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document.write( "2*2 = 4<BR>\n" );
document.write( "2*3 = 6<BR>\n" );
document.write( "3*3 = 9<BR>\n" );
document.write( "2*2*3 = 12<BR>\n" );
document.write( "2*3*3 = 18<BR>\n" );
document.write( "plus:<BR>\n" );
document.write( "2*2*2 = 8<BR>\n" );
document.write( "2*2*3*2 = 24<BR>\n" );
document.write( "2*3*3*2 = 36\r<BR>\n" );
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document.write( " </SPAN>\n" );
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