document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26480>Question 26480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let a and b be positive integers, assume that (a^(3))|(b^(3)). \r<BR>\n" );
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document.write( "How do i prove tha a|b using prime factorization of a and b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14422 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a and b be positive integers, assume that (a^(3))|(b^(3)). \r<BR>\n" );
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document.write( "How do i prove tha a|b using prime factorization of a and b.<BR>\n" );
document.write( "LET A ={(A1)^P1}{(A2)^P2}{(A3)^P3}....ETC...WHERE,A1,A2,A3 ARE ALL PRIME INTEGERS AND P1,P2,P3,ETC ARE INTEHERS.SIMILARLY.....<BR>\n" );
document.write( "LET B ={(B1)^Q1}{(B2)^Q2}{(B3)^Q3}....ETC...WHERE,B1,B2,B3 ARE ALL PRIME INTEGERS AND Q1,Q2,Q3,ETC ARE INTEHERS<BR>\n" );
document.write( "HENCE A^3={(A1)^3P1}{(A2)^3P2}{(A3)^3P3}....ETC..AND<BR>\n" );
document.write( "B ={(B1)^3Q1}{(B2)^3Q2}{(B3)^3Q3}....ETC.......<BR>\n" );
document.write( "NOW IF A^3|B^3.....ALL OF THE PRIME FACTORS OF A^3 SHALL BE CONTAINED IN B^3..<BR>\n" );
document.write( "THUS {(A1)^3P1}{(A2)^3P2}{(A3)^3P3}....ETC..ARE CONTAINED IN B^3.<BR>\n" );
document.write( "HENCE OBVIOUSLY ALL PRIME FACTORS OF A...NAMELY...{(A1)^P1}{(A2)^P2}{(A3)^P3}....ETC..ARE CONTAINED IN B...HENCE A|B </SPAN>\n" );
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