document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011816>Question 1011816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The products of 4 prime numbers is 4522. The sum of two of thesecprimes is 19. What is sum of other two number?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627587 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given product is a multiple of 2 because the ONES digit is even and is itself 2.\r<BR>\n" );
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document.write( "The only way to have sum of two prime numbers to be 19 is they are 2 and 17.<BR>\n" );
document.write( "The other composite part will be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4522%2F%282%2A17%29=133 ALIGN=MIDDLE  ALT=\"4522%2F%282%2A17%29=133\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Factorize 133.  This will(or CAN) include prime numbers LESS than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28133%29 ALIGN=MIDDLE  ALT=\"sqrt%28133%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This allows narrowing the choices to look for.  No longer being even, therefore no longer divisible by 2, the choices are  3, 5, 7, 11.<BR>\n" );
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document.write( "You can omit 3 and 5 from this listing.  No ending in 5 and adding value of digits does not give multiple of 3.\r<BR>\n" );
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document.write( "133-11=122  No good.<BR>\n" );
document.write( "133/7=19------------two prime numbers,  7 and 19.\r<BR>\n" );
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document.write( "RESULT:   2, 7, 17, 19. </SPAN>\n" );
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