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It is a natural number. Is there an argument for it not being so?
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If we add it as natural number, half of number theory, starting from fundamental theorem of arithmetics, would have to replace “all natural numbers” with “all natural numbers, except zero”.
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Prime factorization starts at 2, I’m not sure what you mean. Anyway, if you wanted to exclude 0 you could say “positive integers”, it’s not that hard.
