(1) Factors of any odd integer will always be ODD.
(2) Factors of any even integer can be even, odd or both.
(1) If one of the factors of an odd integer is 2, then it would mean that the integer is divisible by 2, which means that the number is even. So I think it's TRUE.
(2) TRUE. Consider 6. It has both even (2,6) and odd (1,3) factors.
Hmm..this might be FALSE if it means that it can be ALL even. Cuz any number (whether even or odd) has an odd number 1 as one of its factors...