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No. One, a counting number, doesn't belong to either of those sets.

Q: Is the union of the set of prime numbers and the set of composite numbers equal to the set of counting numbers?

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120 is not a prime and no prime numbers equal a composite (ie non-prime).

irrational numbers odd numbers even numbers whole numbers prime numbers composite numbers counting numbers

None, everything is either prime or composite.

1 is the counting number that is neither a prime number nor a composite number.

The product of two prime numbers will be composite.

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Yes. All prime numbers and composite numbers are positive integers, or whole counting numbers. That leaves infinitely many numbers that are neither prime nor composite. If you intended to narrow the scope of your question to the whole counting numbers or to the positive integers, then there are NO such numbers that are neither. A counting number, however large, will be either prime or composite.

120 is not a prime and no prime numbers equal a composite (ie non-prime).

Not all numbers are either prime or composite. The number 1/2 is neither prime nor composite. If you are referring only to the natural or counting numbers, note that every natural number is equal to the product of itself and 1 so each number has at least one divisor, itself. If it has no more divisors, then it is prime. If it has more than itself as a divisor, then it is composite.

Every positive integer greater than 1 is either prime or composite.

irrational numbers odd numbers even numbers whole numbers prime numbers composite numbers counting numbers

All positive whole numbers over 1 can be classified either as prime or composite numbers. Those which are not prime are composite numbers, that is, numbers which are composed of several different factors.

ANSWER: 1 is the only counting number that is not prime nor composite.

No. Prime numbers cannot be composite and composite numbers cannot be prime!

All natural numbers (counting numbers) greater than one are either prime or composite. If divisible by only one and the number itself, it is prime; if divisible by other natural numbers, then is composite. One is the only natural number that is neither prime nor composite.

None, everything is either prime or composite.

1 is special 2 prime 3 prime 4 composite 5 prime 6 composite 7 prime 8 composite 9 composite 10 composite 11 prime 12 composite ext.

No, prime factorizations consist entirely of prime numbers.