document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163488>Question 163488</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073022840/algebrahomeworkh>Mathematics for Elementary Teachers: A Conceptual Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I wasn't sure what to list this under because it's not algebra, it's just confusing!  I need to know how many zeros will be on the right side if you multiply 50x51x52x....x198x199x200. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804413 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number of zeros = number of factors of 5 in the product\r<BR>\n" );
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document.write( "50 * 51 * ... * 200 = (200!)/(49!)\r<BR>\n" );
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document.write( "number of zeros in 200! = 200/5 + 200/5^2 + ... = 49 (must be an integer)\r<BR>\n" );
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document.write( "number of zeros in 49! = 49/5 + 49/5^2 + ... = 10 (must be an integer)\r<BR>\n" );
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document.write( "number of zeros in 50 * 51 * ... * 200 = 49 - 10 = 39 zeroes </SPAN>\n" );
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