Step 1: Zero is not a prime number by definition, so (A) is false, meaning it is not true.
Step 2: One is indeed an integer, so (B) is a true statement.
Step 3: 31 is a whole number, but it is prime, so (C) is false, meaning it is not true.
Step 4: -31 is an integer, and whole numbers start from 0 upward, so -31 is indeed not a whole number, making (D) a true statement.
Step 5: The statements that are not true are (A) and (C) only.