document.write( "Question 1024877: Hi everyone, please can you help me with a maths problem: I am a odd 3 digit number, that is equal to another number multiplied by itself. the sum of my digits is 16. what number am i.
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Algebra.Com's Answer #640239 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "An odd number times an odd number is an odd number.\r\n" );
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document.write( "An even number times an even number is an even number.\r\n" );
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document.write( "So, for a number times itself to be odd, the number\r\n" );
document.write( "multiplied by itself to give that number must be odd.\r\n" );
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document.write( "The smallest odd number which times itself gives a three\r\n" );
document.write( "digit number is 11x11 = 121.  The largest is 31x31 = 961.\r\n" );
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document.write( "Hey!  That's one of them!  I just noticed that the sum of the\r\n" );
document.write( "digits of 961 is indeed 9+6+1 = 16.  \r\n" );
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document.write( "Are there any others?\r\n" );
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document.write( "Let's find out:\r\n" );
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document.write( "11x11 = 121, sum of the digits is 4, not 16.\r\n" );
document.write( "13x13 = 169, aha! 1+6+9=16.  That's a solution!\r\n" );
document.write( "15x15 = 225, sum of the digits is 9, not 16.\r\n" );
document.write( "17x17 = 289, sum of the digits is 19, not 16.\r\n" );
document.write( "19x19 = 361, sum of the digits is 10, not 16.\r\n" );
document.write( "21x21 = 441, sum of the digits is 9, not 16.\r\n" );
document.write( "23x23 = 529, aha! 5+2+9=16.  That's a solution!\r\n" );
document.write( "25x25 = 625, sum of the digits is 13, not 16.\r\n" );
document.write( "27x27 = 729, sum of the digits is 18, not 16.\r\n" );
document.write( "29x29 = 841, sum of the digits is 13, not 16.\r\n" );
document.write( "31x31 = 961, that's the first one I found.\r\n" );
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document.write( "So there are three such numbers 169, 529 and 961.\r\n" );
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document.write( "Edwin
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