document.write( "Question 1173053: What is the smallest integer which multiplied by 40 gives a perfect square? \n" ); document.write( "

Algebra.Com's Answer #798202 by ikleyn(52813) $\"\"$ $\"About$

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document.write( "Decomposition of the integer number of 40 into the profuct of prime integers is\r\n" );
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document.write( "    40 = .\r\n" );
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document.write( "From this decomposition, it is clear that the number which multiplied by 40 gives a perfect square is 2*5 = 10.\r\n" );
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document.write( "Indeed,  10*40 = 400 = .\r\n" );
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document.write( "Also, it is clear from the decomposition, that 2*5 = 10 is the MINIMAL integer number with such a property.\r\n" );
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