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Question from Hanna, a student:

What is my number?
My number is a perfect square.
The only number in its prime factorization is 2.
My number is a factor of 32.
The sum of its digits is odd.

Hanna,

Since the only prime in the prime factorization is 2 your number must be a power of 2. Calculate powers of 21, 22, 23, 24, ... and for each one check to see if it meets the other requirements.

Penny

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