Factorization Challenge: List All Factors of Number 14

To determine the factors of the number $14$, follow these steps:

• Step 1: Understand that factors are numbers that divide $14$ evenly. This means there is no remainder when $14$ is divided by its factors.
• Step 2: Consider $14$ as a product of its prime factors. Start by dividing $14$ by the smallest prime number $2$. Since $14 \div 2 = 7$ with no remainder, we find that $2$ is a factor, and the quotient, $7$, is another factor.
• Step 3: Verify that $7$ is a prime number and cannot be divided evenly by any number other than itself and $1$.
• Step 4: List the factors. Based on the fact that $14 = 2 \times 7$, the factors of $14$ are $1, 2, 7,$ and $14$.

The prime factors are those that occur as direct divisors in the prime factorization, which are $2$ and $7$.

Final conclusion: The problem specifically asks for the prime factors of $14$, which are $2$ and $7$.

Thus, the prime factors of $14$ are $2, 7$.