Identifying the Factors of 13: A Prime Number Analysis

The task is to find all factors of the number $13$. To solve this, let's go through the steps:

• **Step 1: Determine if $13$ is a prime number**

A prime number is defined as a number greater than $1$ that has no divisors other than $1$ and itself. Therefore, a prime number like $13$ will have exactly two factors: $1$ and $13$ itself.

• **Step 2: Conclude the factors**

Since $13$ is a prime number, we list its factors:

• The factors of $13$ are $1$ and $13$.

According to the given multiple choices, we identify the congruence:

Choice 4: $13, 1$ which represents the factors of $13$, making it the correct answer.

Therefore, the correct solution can be concluded as follows:

The factors of $13$ are $1$ and $13$.