Always, sometimes, or never?

Fill in each blank with either always, sometimes, or never. Hover to see the answer.

1. A positive whole number  always  has at least one factor.
2. A whole number  never  has infinitely many factors.
3. Positive whole numbers sometimes have 2 as a factor.
4. Positive whole numbers sometimes have 5 as a factor.
5. Positive whole numbers  never  have 0 as a factor.
6. Positive whole numbers  always  have 1 as a factor.
7. The highest common factor of two positive integers \(m\) and \(n\) is sometimes equal to \(m\).
8. The highest common factor of two positive integers \(m\) and \(n\) is  never  greater than \(m\) or \(n\).
9. A square number  always  has an odd number of factors.
10. A cube number sometimes has an odd number of factors.
11. The fourth power of an integer always  has an odd number of factors.