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.
$1 \div 1$
$=\,\,$ $\dfrac{1}{1}$
The long division method is used to divide the number $1$ by itself and it helps us to know about the remainder.
$\require{enclose}
\begin{array}{rll}
1 && \hbox{} \\[-3pt]
1 \enclose{longdiv}{1}\kern-.2ex \\[-3pt]
\underline{-~~~1} && \longrightarrow && \hbox{$1 \times 1 = 1$} \\[-3pt]
\phantom{00} 0 && \longrightarrow && \hbox{No Remainder}
\end{array}$
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.
$F_{1} \,=\, \{1\}$
Factors References
You have learned the factors of $1$ and you can also learn how to find the factors of natural numbers after $1$ from Math Doubts.