document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515081>Question 515081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the smallest number by which 864 must be multiplied with to make a quotient a perfect cube? plz solve it without calculator </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343706 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=343706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the smallest number by which 864 must be multiplied with to make a quotient a perfect cube? plz solve it without calculator<BR>\n" );
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document.write( "864 = 8*108 = 8*4*7 = 2^5*7<BR>\n" );
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document.write( "To get a perfect cube multiply by (2)*(7^2) = 98<BR>\n" );
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document.write( "Why?<BR>\n" );
document.write( "You will get 2^6*7^3 = (2^2*7)^3 = (4*7)^3 , which is a perfect cube.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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