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1 is neither a Prime number, nor a composite number. A prime number is divisible by exactly two factors, 1 and itself. However, 1 is only divisible by one factor: 1. It is called the identity element or unity.

There is an unusual situation in association with the factors of 1.

The only factor of 1 is 1.

The factor pair, if you absolutely need one (but this is stretching it), is 1 x 1.

There is an issue with the proper factors, since the proper factors are the factors less than the number itself, which in this case means less than 1. So, 1 does not have any proper factors.

There is an issue with the prime factors, since its only factor is 1, but 1 is not a prime number. So, it does not really have any prime factors, and thus does not have any distinct prime factors, which is the list of each different prime factor, either. In addition, without prime factors, you cannot have a prime factorization for 1.

NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

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13y ago

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