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One is an odd number which is neither a prime or composite number because it has only 1 factor which is itself.

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Q: What kind of number is one?
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What kind of number has one factor?

The number one.


What kind of number is divisible by a number and one?

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What is the phone number of the Carr'S One Of A Kind Museum in Spokane Washington?

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If you mean what kind of element can exist as one atom, the answer is the noble gases in group 18. All elements are composed of one kind of atom, having a unique number of protons, or atomic number.