GRE Quantitative Problem Solving

GRE Quant Problem Solving
1

Question: An integer with only one power of 2 will always have an equal number of odd and even positive factors.

  • True
  • False

Source: GregMat practice test

Answer captured here says: True. However, logic stands null and void for 2^3. Can anyone please help me clarify this

2

Hi, this means if you prime factorize it, the integer will be

2^1 *\times something

And not…

2^0 *\times something
2^2 *\times something
2^3 *\times something
2^4 *\times something

And so on