document.write( "Question 234483: what is product of the divisors of 1000 (including 1 and 1000)?\r
\n" ); document.write( "\n" ); document.write( "a) 10^24 b) 10^16 c) 10^8 d) 10^30 e) 10^32 \n" ); document.write( "

Algebra.Com's Answer #172885 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( " has only the prime divisors  and .\r\n" );
document.write( "Every divisor of  is therefore of the form ,\r\n" );
document.write( "where  and  are elements of {0,1,2,3}.  Since there\r\n" );
document.write( "are  choices for  and  choices for , there are \r\n" );
document.write( "divisors of .  That isn't necessary to know.  But\r\n" );
document.write( "in the product of all  divisors of , \r\n" );
document.write( "or , and  or  occur exactly  times each.\r\n" );
document.write( "Since  and  both occur  times each in the product\r\n" );
document.write( "of all divisors, the product of the divisors must be\r\n" );
document.write( ", choice a)\r\n" );
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document.write( "Edwin

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