document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883926>Question 883926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the remainder when 23^294 is divided by 5?<BR>\n" );
document.write( "(A) 0<BR>\n" );
document.write( "(B) 1<BR>\n" );
document.write( "(C) 2<BR>\n" );
document.write( "(D) 3<BR>\n" );
document.write( "(E) 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533856 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=533856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Focus only on the last units digit of 23\r<BR>\n" );
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document.write( "3 ---> 3^2 = 9\r<BR>\n" );
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document.write( "9*3 = 27\r<BR>\n" );
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document.write( "Now only focus on the 7 and multiply by 3: 7*3 = 21\r<BR>\n" );
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document.write( "Now only focus on the 1 and multiply by 3: 1*3 = 3\r<BR>\n" );
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document.write( "We have this pattern of the digits: 3, 9, 7, 1\r<BR>\n" );
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document.write( "and it repeats over and over\r<BR>\n" );
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document.write( "It repeats every 4 times. So because 294/4 = 73 remainder 2, this means that the last digit of 23^294 is 9\r<BR>\n" );
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document.write( "9/5 = 1 remainder <font color=\"red\">4</font>\r<BR>\n" );
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document.write( "So the remainder is <font color=\"red\">4</font>\r<BR>\n" );
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