If p can be expressed as the product of two integers, each
being greater than 1, then p necessarily
has to be a composite number (a non prime).
1 Says p is 32, 33, 34, 35 or 36. This is a set of composite numbers, so no matter what, p can
be expressed as a product of two integers, each > 1. Hence sufficient.
2. Says p is odd. This does not provide us information if that odd number is prime or not. Hence this is insufficient.
Who says elephants can't dance?