document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120169>Question 120169</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130686085/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the Integers that fit the following conditions:<BR>\n" );
document.write( "They are between 44 and 53<BR>\n" );
document.write( "The sums of their digits are prime<BR>\n" );
document.write( "They have more than three factors </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88079 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=88079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%2810%2C2%2C44%2C8%2C45%2C9%2C46%2C10%2Cgreen%2847%29%2Cgreen%2811%29%2C48%2C12%2Cgreen%2849%29%2Cgreen%2813%29%2C50%2C5%2C51%2C6%2Cgreen%2852%29%2Cgreen%287%29%2C53%2C8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The table has the integers and the sum of their digits.  Three of these have a sum of digits that is prime, 47, 49, and 52.\r<BR>\n" );
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document.write( "47 is prime so it has only two factors, itself and 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49=7%5E2 ALIGN=MIDDLE  ALT=\"49=7%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so it only has two prime factors, 7 and 7, plus itself and 1.  But you can't really call 1 a factor, so this has just 3 factors\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=52=2%2A2%2A13 ALIGN=MIDDLE  ALT=\"52=2%2A2%2A13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and has three prime factors, 2, 2, and 13, plus itself and 1.  Therefore 4 factors. </SPAN>\n" );
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