The number of factors can be either even or odd.
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Even powers of prime numbers. Square numbers have an odd number of factors.
Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.
Composite numbers can have either an odd number or an even number of fractions. Factors of 25 are 1, 5, 25 . (odd number of them) Factors of 26 are 1, 2, 13, and 26 . (even number of them)
No, only square numbers have an odd number of factors.
Yes. Square numbers have an odd number of factors. 49 has three factors.