document.write( "Question 530250: Riddle 2
\n" ); document.write( "What number am I ?
\n" ); document.write( "I am a perfect square.
\n" ); document.write( "The only number in my prime factorization is 2.
\n" ); document.write( "I am a factor of 32.
\n" ); document.write( "The sum of my digits is odd.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #349972 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
The factors of 32 are 1, 2, 4, 8, 16, and 32.
\n" ); document.write( "All of them are powers of 2, so you could say they have 2 as the only factor in their prime factorization.
\n" ); document.write( "\"2%5E0=1\"
\n" ); document.write( "\"2%5E1=2\"
\n" ); document.write( "\"2%5E2=4\" and so on
\n" ); document.write( "However, I think 1 did not really count in the mind of the person writing the problem. I don't think they think the prime factorization of 1 involves a 2. Maybe they don't think there is a prime factorization for 1 at all.
\n" ); document.write( "Of the factors listed (other than 1), only 4 and 16 are perfect squares.
\n" ); document.write( "\"4=2%5E2\" and \"16=4%5E2\"
\n" ); document.write( "Four has only one digit, so you could say that the sum of its digits is 4.
\n" ); document.write( "What about 16?
\n" ); document.write( "
\n" );