document.write( "Question 959293: A positive integer has three digits. The product of the digits is 135. What is the sum of the digits \n" ); document.write( "

Algebra.Com's Answer #586379 by Edwin McCravy(20064) $\"\"$ $\"About$

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A positive integer has three digits. The product of the digits is 135.
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document.write( "Break 135 into a product of primes:\r\n" );
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document.write( "135 = 3*3*3*5\r\n" );
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document.write( "That's a product of four digits, not three. To reduce it to three,\r\n" );
document.write( "we'll have to multiply two of them together and take their product\r\n" );
document.write( "as a digit.  The only way to multiply two of those together to get \r\n" );
document.write( "a single digit is to multiply two of the 3's together as having a \r\n" );
document.write( "factor of 9.  That is, the digits have to be 3,5, and 9.  So the \r\n" );
document.write( "sum of the digits is 3+5+9 = 17.\r\n" );
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document.write( "Edwin

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