document.write( "Question 856528: I am thinking of a positive number, less than 500, that is divisible by every number from 1 to 10 (inclusive), with one exception. What number am I thinking of? Prove that the answer is unique. \n" ); document.write( "

Algebra.Com's Answer #516069 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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I am thinking of a positive number, less than 500, that is divisible by every number from 1 to 10 (inclusive), with one exception.
\n" ); document.write( " What number am I thinking of? Prove that the answer is unique.
\n" ); document.write( ":
\n" ); document.write( "i think the exception is 7, the other prime numbers have multiples
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\n" ); document.write( "Prime factor the last three numbers
\n" ); document.write( "10: 2 * 5
\n" ); document.write( "9: 3 * 3
\n" ); document.write( "8: 2*2*2
\n" ); document.write( ":
\n" ); document.write( "LCM: 2*2*2*3*3*5 = 360 is the number \n" ); document.write( "

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