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

Updated: 4/28/2022

Wiki User

9y ago

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

Wiki User

9y ago

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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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Are there any number that are neither prime nor composite?

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.

What prime numbers equal 120?

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

Why should all the numbers be prime or composite?

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.

Are all prime numbers composite no?

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

What are the different types of numbers?

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

Any counting number grater then 1 witch is not prime is what kind number?

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.

What is the only counting number that is not prime nor composite?

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

Are prime numbers greater than 2 composite?

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

Do you need to know all of the factors of a number in order to determine if it prime or composite?

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.

Which counting number is not a prime number or a composite number?

None, everything is either prime or composite.

Which numbers are prime numbers and which are composite numbers from 1 to 100?

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.

Does prime factorization of composite numbers include prime and composite numbers?

No, prime factorizations consist entirely of prime numbers.