No.
No, it is not.
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
No, but they are closed for multiplication.
Addition, subtraction and multiplication.
No.
No, it is not.
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
No, but they are closed for multiplication.
Yes!
Addition, subtraction and multiplication.
Yes!
1 No. 2 No. 3 Yes.
The set of integers is not closed under multiplication and so is not a field.
Yes
The set of integers is closed with respect to multiplication and with respect to addition.
Yes, it is.