document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248731>Question 248731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine how many zeros are at the end of the numeral for the following in base 10:<BR>\n" );
document.write( "1000!<BR>\n" );
document.write( "Please explain how we can find the number of zeros for any factorial. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804376 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=804376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> number of zeros = number of factors of 10 = number of factors of 5 (Factors of 5 are less common than factors of 2.)\r<BR>\n" );
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document.write( "Keep dividing the result by 5 until you can't.\r<BR>\n" );
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document.write( "1000/5 = 200<BR>\n" );
document.write( "200/5 = 40<BR>\n" );
document.write( "40/5 = 8<BR>\n" );
document.write( "8/5 = 1.6 --> 1\r<BR>\n" );
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document.write( "1000! ends with 200 + 40 + 8 + 1 = 249 zeros. </SPAN>\n" );
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