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That is how they are defined. Any number greater than 1 is composite if it has a factor other than 1 and itself. If it is not a composite number then it is a Prime number. It mustbe one or the other and the result follows.

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Q: Why is every number greater than 1 is either prime or composite?
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Related questions

Is every even number greater than 2 a composite number?

Yes, a composite number is a positive integer which has a positive divisor other than one or itself. By definition, every integer greater than one is either a prime number or a composite number and since 2 is the only even prime number the result is every number greater than 2 is a composite number


Are all prime numbers composite no?

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


What are the number that greater than 2 are composite?

There are an infinite amount of numbers greater than two that are composite numbers. Every even number, for instance, is a composite number


Is 400 composite or prime number?

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Is 4564282 a composite number and how can you determine your answer?

Every even number greater than two is composite.


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Every positive number greater than one is either prime or composite and can't switch from one to the other.


Is every number either prime or composite?

No. It IS true that every whole number is either prime or composite. But there are numbers that are not whole numbers, such as 2.5, which are neither prime nor composite.


What number is not a prime or composite?

By definition, every integer greater than one is either a prime or a composite number. Indeed, a composite number is defined to be a positive integer which has a positive divisor other than one or itself. And a prime number is defined to be a integer greater than one which has the contrary property (exactly two divisors - one and itself). So any number greater than one is either composite or prime. Among the natural numbers, it remains the number 1, which is neither composite nor prime. 0 is composite, since has all positive integer as divisors.


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Is 124 prime or composite number?

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