What are the Factors of 1?

Factors

$1$ is a factor of itself.

The number “one” is a first natural number. It is also a whole number because the number $1$ represents a whole quantity in mathematics.

In some cases, the number $1$ should have to be expressed as factors. Therefore, everyone of us should have to know the factors of one.

According to arithmetic, the number $1$ is only a factor of itself and we have to know why the number one is a factor of itself. So, let’s learn how to find the factors of $1$ mathematically.

In mathematics, the number $1$ is a first natural number. So, let’s divide the number $1$ by itself.

No remainder is found when the number $1$ is divided by itself, which means the number $1$ divides itself completely. Therefore, the number $1$ is a factor of itself.

The number $1$ cannot be divided by remaining natural numbers $2, 3, 4, \cdots$ because all these numbers are greater than $1$. So, the numbers $2, 3, 4$ and etc cannot divide the number $1$ completely.

Conclusion

It is proved that the number $1$ divides itself completely. So, the number $1$ is only a factor of itself.

Factorization

The factor of one is $1$. So, the number $1$ can be written in its factors form possibly as follows.

$1 \,=\, 1 \times 1$

Representation

The factors of $1$ is expressed in set form in mathematically as follows.

$F_{1} \,=\, \{1\}$

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