document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107997>Question 107997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tell wether the number is prime or composite. If it is composite,write its prime factorization.\r<BR>\n" );
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document.write( "<b> 8. 345\r<BR>\n" );
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document.write( "Any help with this equation would be GREATLY appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78711 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To determine if a number is prime, divide it by all of the prime numbers less than the square root of the number. If none of the prime divisors divides the number evenly, then then number is prime.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28345%29 ALIGN=MIDDLE  ALT=\"sqrt%28345%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a little more than 18, so you have to divide by:\r<BR>\n" );
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document.write( "2, 3, 5, 7, 11, 13, and 17.  \r<BR>\n" );
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document.write( "The number 345 is odd, so 2 is not a factor.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=345%2F3=115 ALIGN=MIDDLE  ALT=\"345%2F3=115\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so 3 is a factor, and 345 is composite.\r<BR>\n" );
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document.write( "2 wasn't a factor of 345, so it can't be a factor of 115 either.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115%2F3 ALIGN=MIDDLE  ALT=\"115%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not integral, so 345 only has the single 3 as a factor.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=115%2F5=23 ALIGN=MIDDLE  ALT=\"115%2F5=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so 5 is another factor of 345.\r<BR>\n" );
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document.write( "And finally, 23 is prime because it is not divisible by either 2  or 3 (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2823%29%3C5 ALIGN=MIDDLE  ALT=\"sqrt%2823%29%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Therefore, the prime factorization of 345 is (3 * 5 * 23) </SPAN>\n" );
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