document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900647>Question 900647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.how many factors do 18 and 24 have in common?<BR>\n" );
document.write( "a.6   b.5   c.4   d.3   e.2\r<BR>\n" );
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document.write( "2. Which of the following numbers leaves a remainder when divided by 9?<BR>\n" );
document.write( "a.369   b.9513   c.8181   d.10,919   e.84,843\r<BR>\n" );
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document.write( "3. Which of the following could be the remainders when three consecutive odd integers are divided by 5?<BR>\n" );
document.write( "a.4,1,3   b.1,2,4   c.2,0,4   d.0,2,3   e.0,3,4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #546076 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=546076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "Factors of 18: 1, 2, 3, 6, 9, 18\r<BR>\n" );
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document.write( "Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24\r<BR>\n" );
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document.write( "Highlighting the factors in common\r<BR>\n" );
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document.write( "Factors of 18: <font color=\"blue\">1, 2, 3, 6</font>, 9, 18\r<BR>\n" );
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document.write( "Factors of 24: <font color=\"blue\">1, 2, 3</font>, 4, <font color=\"blue\">6</font>, 8, 12, 24\r<BR>\n" );
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document.write( "The two numbers have <font color=\"red\">4</font> factors in common. So the answer is <font color=\"red\">choice c) 4</font>.\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Add up the digits: 369 ---> 3+6+9 = 9+9 = 18\r<BR>\n" );
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document.write( "18 is a multiple of 9, so 369 is also a multiple of 9\r<BR>\n" );
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document.write( "That means 369/9 has a remainder of 0.\r<BR>\n" );
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document.write( "8181 ----> 8+1+8+1 = 9+9 = 18\r<BR>\n" );
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document.write( "So 8181/9 has a remainder of 0.\r<BR>\n" );
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document.write( "10919 ----> 1+0+9+1+9 = 20\r<BR>\n" );
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document.write( "20/9 has a remainder that is nonzero (turns out it is 20-18 = 2)\r<BR>\n" );
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document.write( "84843 ----> 8+4+8+4+3 = 27\r<BR>\n" );
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document.write( "27/9 has a remainder of 0.\r<BR>\n" );
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document.write( "Final Answer: <font color=\"red\">choice D) 10919</font>\r<BR>\n" );
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document.write( "# 3\r<BR>\n" );
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document.write( "Consecutive odd integers are integers like: 11, 13, 15\r<BR>\n" );
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document.write( "They are odd and they are the closest to one another possible and follow in sequence.\r<BR>\n" );
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document.write( "We'll cycle through a list of possible choices until we get to the answer\r<BR>\n" );
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document.write( "Consecutive Odd Integers: 1, 3, 5<BR>\n" );
document.write( "1/5 = 0 remainder 1<BR>\n" );
document.write( "3/5 = 0 remainder 3<BR>\n" );
document.write( "5/5 = 1 remainder 0<BR>\n" );
document.write( "So we get the remainders 1, 3, 0<BR>\n" );
document.write( "This choice isn't listed, so we move on.\r<BR>\n" );
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document.write( "Consecutive Odd Integers: 3, 5, 7<BR>\n" );
document.write( "3/5 = 0 remainder 3<BR>\n" );
document.write( "5/5 = 1 remainder 0<BR>\n" );
document.write( "7/5 = 1 remainder 2<BR>\n" );
document.write( "So we get the remainders 3, 0, 2<BR>\n" );
document.write( "This choice isn't listed, so we move on.\r<BR>\n" );
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document.write( "Consecutive Odd Integers: 5, 7, 9<BR>\n" );
document.write( "5/5 = 1 remainder 0<BR>\n" );
document.write( "7/5 = 1 remainder 2<BR>\n" );
document.write( "9/5 = 1 remainder 4<BR>\n" );
document.write( "So we get the remainders 0, 2, 4<BR>\n" );
document.write( "This choice isn't listed, so we move on.\r<BR>\n" );
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document.write( "Consecutive Odd Integers: 7, 9, 11<BR>\n" );
document.write( "7/5 = 1 remainder 2<BR>\n" );
document.write( "9/5 = 1 remainder 4<BR>\n" );
document.write( "11/5 = 2 remainder 1<BR>\n" );
document.write( "So we get the remainders 2, 4, 1<BR>\n" );
document.write( "This choice isn't listed, so we move on.\r<BR>\n" );
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document.write( "Consecutive Odd Integers: 9, 11, 13<BR>\n" );
document.write( "9/5 = 1 remainder 4<BR>\n" );
document.write( "11/5 = 2 remainder 1<BR>\n" );
document.write( "13/5 = 2 remainder 3<BR>\n" );
document.write( "So we get the remainders 4, 1, 3<BR>\n" );
document.write( "This is listed as an answer choice, which is choice A\r<BR>\n" );
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document.write( "The final answer is <font color=\"red\">choice A) 4, 1, 3</font><BR>\n" );
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