If you are thinking of prime factorization of integers, yes, a Prime number more specifically
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No. because odd numbers don't have 2 as a factor but even numbers do. So it won't be a whole number.
What exactly do you mean when you say "the opposite of a whole number" . . .
A number that is a factor of two or more numbers is simply a common factor
The square root of 16 is 4 which is a whole number.
a fraction cannot be a whole number