document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199209>Question 1199209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a,b, and c are positive integers, find the sum a + b + c if:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3b%5E3c+=+454425283 ALIGN=MIDDLE  ALT=\"a%5E3b%5E3c+=+454425283\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3bc%5E3+=+248258803 ALIGN=MIDDLE  ALT=\"a%5E3bc%5E3+=+248258803\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%5E3c%5E3+=+777094123 ALIGN=MIDDLE  ALT=\"ab%5E3c%5E3+=+777094123\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832965 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "For this one, you definitely want to use an online calculator to find the prime factorization... unless you have nothing better to do with your time.<br><BR>\n" );
document.write( "454425283 = (13^3)(17^1)(23^3)<br><BR>\n" );
document.write( "You could use the online calculator again to find the prime factorizations of the other two numbers.  But you don't have to, because you already know that<br><BR>\n" );
document.write( "(a^3)(b^3)(c) = (13^3)(17)(23^3),<br><BR>\n" );
document.write( "so you know that c is 17 and a and b are, in some order, 13 and 23.  And since you are only asked to find the sum a+b+c, you have all the information you need to do that.<br><BR>\n" );
document.write( "ANSWER: a+b+c = 13+17+23 = 53<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );