The numbers 0 and 1; all negatives; all decimals; and all fractions are neither prime nor composite.
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Zero is composite because it has all the real numbers as factors.
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.
All even numbers greater than two are composite.
One is neither prime nor composite. It is known as the identity element, the unit element and unity. A prime number has exactly two factors, so 1 cannot be prime because it has only one factor - itself. A composite number has more than two factors, so it cannot be composite. Zero could have either no factors at all, or infinitely many factors all paired with zero. Because of this ambiguity, it is not considered either prime or composite.
38 is a composite number because composite numbers are numbers that have more than 1 and themselves as factors. 1x38 is not the only solution, so it isn't prime. One solution for this could be 2x19