document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244881>Question 244881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The units digit, or the ones digit, of the product of any six consecutive positive whole numbers always equals which number?\r<BR>\n" );
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document.write( "(A) 8 (B) 6 (C) 4 (D) 2 (E) 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179036 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=179036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is E. The reasons are:<ul><li>Any sequaence of six consecutive positive whole numbers will include at least one (actually 3 but we only need 1) even number</li><li>Any sequaence of six consecutive positive whole numbers will include at least one multiple of 5</li><li>Since multiplication is commutative and associative it is OK to consider multiplying the even number by the multiple of 5 first.</li><li>What do you get when you multiply an even number by a multiple of 5? Answer: A multiple of 10.</li><li>Multiplying this multiple of 10 by the other 4 numbers, whatever they are, just gives us a larger multiple of 10.</li><li>And what is the ones digit of all mutliples of 10? Answer: 0!</li></ul> </SPAN>\n" );
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