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== As a number ==
== As a number ==
One, sometimes referred to as '''unity''',<ref>Skoog, Douglas. ''Principles of Instrumental Analysis''. Brooks/Cole, 2007, p. 758.</ref><ref name=":0" /> is the first non-zero [[natural number]]. It is thus the [[integer]] after [[zero]].
One, sometimes referred to as '''unity''',<ref name=":0" /><ref>Skoog, Douglas. ''Principles of Instrumental Analysis''. Brooks/Cole, 2007, p. 758.</ref> is the first non-zero [[natural number]]. It is thus the [[integer]] after [[zero]].


Any number multiplied by one remains that number, as one is the [[Identity element|identity]] for [[multiplication]]. As a result, 1 is its own [[factorial]], its own [[Square (algebra)|square]] and [[square root]], its own [[Cube (algebra)|cube]] and [[cube root]], and so on. One is also the result of the [[empty product]], as any number multiplied by one is itself. It is also the only natural number that is neither [[composite number|composite]] nor [[prime number|prime]] with respect to [[Division (mathematics)|division]], but is instead considered a [[unit (ring theory)|unit]] (meaning of [[ring theory]]).
Any number multiplied by one remains that number, as one is the [[Identity element|identity]] for [[multiplication]]. As a result, 1 is its own [[factorial]], its own [[Square (algebra)|square]] and [[square root]], its own [[Cube (algebra)|cube]] and [[cube root]], and so on. One is also the result of the [[empty product]], as any number multiplied by one is itself. It is also the only natural number that is neither [[composite number|composite]] nor [[prime number|prime]] with respect to [[Division (mathematics)|division]], but is instead considered a [[unit (ring theory)|unit]] (meaning of [[ring theory]]).
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