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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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
Every positive integer greater than 1 is either prime or composite.
Every even number greater than 2 is composite.
Every even number greater than two is 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.