document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105805>Question 105805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you figure out the prime factorization of a number and what exactly does that mean. These are the numbers I need to find the prime factorization of.\r<BR>\n" );
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document.write( "16, 35, 50, 144, 136, 90, 320. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77003 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prime Factorization is finding the prime numbers you need to multiply together to get your number. <BR>\n" );
document.write( "Prime numbers are numbers that are divisible only by one and themselves. <BR>\n" );
document.write( "Let start. <BR>\n" );
document.write( "Look at the factors of 16.<BR>\n" );
document.write( "2x8=16<BR>\n" );
document.write( "Then break down those factors until you only have primes left. <BR>\n" );
document.write( "8 can be further factored to 8=2x4 and 4=2x2. <BR>\n" );
document.write( "Since 2 is a prime number, you can't factor any more. <BR>\n" );
document.write( "Put all of those factors together to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2%2A8 ALIGN=MIDDLE  ALT=\"16=2%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2%2A%282%2A4%29 ALIGN=MIDDLE  ALT=\"16=2%2A%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2%2A%282%2A%282%2A2%29%29 ALIGN=MIDDLE  ALT=\"16=2%2A%282%2A%282%2A2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2%2A2%2A2%2A2%2A2=2%5E5 ALIGN=MIDDLE  ALT=\"16=2%2A2%2A2%2A2%2A2=2%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for 35. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=5%2A7 ALIGN=MIDDLE  ALT=\"35=5%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (5,7 prime numbers)<BR>\n" );
document.write( "Now for 50.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=5%2A10 ALIGN=MIDDLE  ALT=\"50=5%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (10=2x5) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=2%2A5%2A5=2%2A5%5E2 ALIGN=MIDDLE  ALT=\"50=2%2A5%2A5=2%2A5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2,5 prime numbers)<BR>\n" );
document.write( "Now for 144.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144=2%2A72 ALIGN=MIDDLE  ALT=\"144=2%2A72\"   DISABLED_style= \"max-width:90%; height:auto;\" > (72=2x36, 36=4x9, 4=2x2, 9=3x3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144=2%2A2%2A2%2A2%2A3%2A3=2%5E4%2A3%5E2 ALIGN=MIDDLE  ALT=\"144=2%2A2%2A2%2A2%2A3%2A3=2%5E4%2A3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for 136.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=136=2%2A68 ALIGN=MIDDLE  ALT=\"136=2%2A68\"   DISABLED_style= \"max-width:90%; height:auto;\" > (68=2x34, 34=2x17)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=136=2%2A2%2A2%2A17=2%5E3%2A17 ALIGN=MIDDLE  ALT=\"136=2%2A2%2A2%2A17=2%5E3%2A17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for 90.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90=9%2A10 ALIGN=MIDDLE  ALT=\"90=9%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (9=3x3, 10=2x5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90=2%2A3%2A3%2A5=2%2A3%5E2%2A5 ALIGN=MIDDLE  ALT=\"90=2%2A3%2A3%2A5=2%2A3%5E2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for 320.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=320=32%2A10 ALIGN=MIDDLE  ALT=\"320=32%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" > (32=4x8, 4=2x2, 8=2x2x2, 10=2x5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=320=2%2A2%2A2%2A2%2A2%2A2%2A5=2%5E%286%29%2A5 ALIGN=MIDDLE  ALT=\"320=2%2A2%2A2%2A2%2A2%2A2%2A5=2%5E%286%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );