document.write( "Question 1063715: Find both square roots of the largest perfect square that divides 8124287104. \n" ); document.write( "
Algebra.Com's Answer #678846 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I kept dividing by 2 until I got an odd number:\r\n" );
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document.write( "8124287104÷2 = 4062143662 \r\n" );
document.write( "4062143552÷2 = 2031071776\r\n" );
document.write( "2031071776÷2 = 1015535888\r\n" );
document.write( "1015535888÷2 =  507767944\r\n" );
document.write( " 507767944÷2 =  253883972\r\n" );
document.write( " 253883972÷2 =  126941986\r\n" );
document.write( " 126941986÷2 =   63470993  <--an odd number\r\n" );
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document.write( "So 8124287104 = 27∙63470993\r\n" );
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document.write( "We know that 26 = (23)2 = 82 = 64\r\n" );
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document.write( "is a perfect square that divides 8124287104.\r\n" );
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document.write( "But we don't know if there is a larger one.  So I went to\r\n" );
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document.write( "http://compoasso.free.fr/primelistweb/page/prime/liste_online_en.php\r\n" );
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document.write( "and typed in 63470993 to see if it is prime and found that it was not.\r\n" );
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document.write( "So I tried dividing it by primes 3,5,7,11,13,17,19,23,29,31,37,41\r\n" );
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document.write( "and found that 63470993 = 41∙1548073\r\n" );
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document.write( "I went to that site again and found that 1548073 is indeed a prime.\r\n" );
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document.write( "So 64 is the largest perfect square that divides 8124287104.\r\n" );
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document.write( "64 has two square roots, which are 8 and -8.\r\n" );
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document.write( "Edwin
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