One is the only integer with one factor.
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unique number: The number 1 has only one factor. (It is therefore unique.)
By definition, "unique" indicates there is only one.
A number with only one unique divisor is called a "unit".
Every number is a unique number.
Every number is unique, because if any number weren't unique, it would be exactly the same as another number, so the number that wasn't unique was just another way to write a different number.