document.write( "Question 254093: Find the smallest possible integer value of n for which 8008n is a perfect square \n" ); document.write( "

Algebra.Com's Answer #186489 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "We break  down into a product of prime factors\r\n" );
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document.write( "Every perfect square contains exactly an even number of each\r\n" );
document.write( "of its prime factors. The product above needs a minimum of one \r\n" );
document.write( "more , one more , one more , and one more  to have an \r\n" );
document.write( "even number of each of the prime factors 2,7,11,and 13.\r\n" );
document.write( "That is, it needs to be multiplied by  or \r\n" );
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document.write( "Thus if n = , we have\r\n" );
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document.write( "Edwin

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