SOLUTION: Riddle 2 What number am I ? I am a perfect square. The only number in my prime factorization is 2. I am a factor of 32. The sum of my digits is odd.

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Question 530250: Riddle 2
What number am I ?
I am a perfect square.
The only number in my prime factorization is 2.
I am a factor of 32.
The sum of my digits is odd.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The factors of 32 are 1, 2, 4, 8, 16, and 32.
All of them are powers of 2, so you could say they have 2 as the only factor in their prime factorization.
2%5E0=1
2%5E1=2
2%5E2=4 and so on
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.
Of the factors listed (other than 1), only 4 and 16 are perfect squares.
4=2%5E2 and 16=4%5E2
Four has only one digit, so you could say that the sum of its digits is 4.
What about 16?