document.write( "Question 1150159: How many different perfect squares are factors of 2007^2007? \n" ); document.write( "

Algebra.Com's Answer #771524 by ikleyn(52858) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The logic and the development of the solution by @greenestamps are ALMOST correct, except the last line,\r
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\n" ); document.write( "\n" ); document.write( "The correct form of the last two lines and the correct answer are as follows:\r
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document.write( "    Where a and b are even integers, with 0 <= a <= 4014 and 0 <= b <= 2007.\r\n" );
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document.write( "    That give us 2008 choices for a and  =  = 1004 choices for b; \r\n" );
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document.write( "    the number of perfect square factors of the number is then 2008*1004 = 2016032.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Again, the correct answer for the number of perfect square factors of $\"2007%5E2007\"$ is 2016032.\r
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