document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251680>Question 251680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X is an integer greater than one such that when it is divided by 3, 5, 7, or 13, the remainder is one. What is the smallest possible value of X?<BR>\n" );
document.write( "a) 1363 b) 1364 c) 1365 d) 1366 e) none of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183355 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x must be one more than the factors 3*5*7*13.<BR>\n" );
document.write( "It must be an even number to have  a remainder of one when  divided by 3,5,7,13\r<BR>\n" );
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document.write( "the only even numbers options are 1364 and 1366<BR>\n" );
document.write( "1364/13 has a remainder of 12\r<BR>\n" );
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document.write( "3*5*7*13+1=1366<BR>\n" );
document.write( "d)1366 </SPAN>\n" );
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