document.write( "Question 978614: What is the smallest prime factor of 1001? \n" ); document.write( "
Algebra.Com's Answer #599984 by Edwin McCravy(20060)\"\" \"About 
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What is the smallest prime factor of 1001?
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document.write( "The smallest prime is 2.  So we try 2:\r\n" );
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document.write( "   500\r\n" );
document.write( "2)1001\r\n" );
document.write( "  1000\r\n" );
document.write( "     1\r\n" );
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document.write( "So 2 in not a factor of 1001 because it leaves a remainder of 1 when we divide 1001 by 2.\r\n" );
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document.write( "So we try the next prime, which is 3:\r\n" );
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document.write( "   333\r\n" );
document.write( "3)1001\r\n" );
document.write( "   999\r\n" );
document.write( "     2\r\n" );
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document.write( "So 3 in not a factor of 1001 because it leaves a remainder of 2 when we divide 1001 by 3.\r\n" );
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document.write( "So we try the next prime, which is 5\r\n" );
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document.write( "   200\r\n" );
document.write( "5)1001\r\n" );
document.write( "  1000\r\n" );
document.write( "     1\r\n" );
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document.write( "So 5 in not a factor of 1001 because it leaves a remainder of 1 when we divide 1001 by 5.\r\n" );
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document.write( "So we try the next prime, which is 7\r\n" );
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document.write( "   143\r\n" );
document.write( "7)1001\r\n" );
document.write( "  1001\r\n" );
document.write( "     0\r\n" );
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document.write( "So 7 in a factor of 1001 because it leaves a remainder of 0 when we divide 1001 by 7.  \r\n" );
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document.write( "So the answer is 7.\r\n" );
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document.write( "Edwin
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