Yes, the factors of all odd numbers are odd numbers.
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All square numbers have an odd number of factors.
All nonzero numbers have factors. Some factors are odd numbers. 3 is an odd factor of 12.
No. Perfect square numbers have an odd number of factors.
Square numbers have an odd number of factors.
Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.