That's not true.
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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 even number greater than 2 is composite.
53 is a prime number that is greater than 50
67 is a prime number; 38, like every even number greater than 2, is a composite number.
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.