It is also the only natural number that is neither composite nor prime with respect to division, but is instead considered a unit (meaning of ring theory). One is also the result of the empty product, as any number multiplied by one is itself. As a result, 1 is its own factorial, its own square and square root, its own cube and cube root, and so on. It is thus the integer after zero.ДЄny number multiplied by one remains that number, as one is the identity for multiplication. One, sometimes referred to as unity, is the first non-zero natural number. Д¬ompare the Proto-Germanic root *ainaz to Old Frisian an, Gothic ains, Danish en, Dutch een, German eins and Old Norse einn.Д¬ompare the Proto-Indo-European root *oi-no- (which means 'one, single' ) to Greek oinos (which means 'ace' on dice ), Latin unus (one ), Old Persian aivam, Old Church Slavonic -inu and ino-, Lithuanian vienas, Old Irish oin and Breton un (one ).

The Proto-Germanic root *ainaz comes from the Proto-Indo-European root *oi-no. It comes from the English word an, which comes from the Proto-Germanic root *ainaz. The word one can be used as a noun, an adjective, and a pronoun. It commonly denotes the first, leading or top thing in a group. The unique mathematical properties of the number have led to its unique uses in other fields, ranging from science to sports. 1 is by convention not considered a prime number although universally accepted today, this fact was controversial until the mid-20th century. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. Most if not all properties of 1 can be deduced from this. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by 2, although by other definitions 1 is the second natural number, following 0. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. For example, a line segment of unit length is a line segment of lengthВ 1. It represents a single entity, the unit of counting or measurement. 1 ( one, also called unit, and unity) is a number and a numerical digit used to represent that number in numerals.

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