One is neither a prime nor a composite number. A Prime number is one with exactly two positive divisors, itself and one. One has only one positive divisor which is itself so it is not prime. Furthermore, it cannot be written as a product of two factors, neither of which is itself. This tells us that one is also not composite. The other number which is neither prime not composite is Zero which has an infinite number of divisors since any nonzero whole number divides zero. Zero cannot be be written as a product of two factors, neither of which is itself, so zero is also not composite.
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