Prime factorization of $$$914$$$

Find the prime factorization of $$$914$$$.

Start with the number $$$2$$$.

Determine whether $$$914$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$914$$$ by $$${\color{green}2}$$$: $$$\frac{914}{2} = {\color{red}457}$$$.

The prime number $$${\color{green}457}$$$ has no other factors then $$$1$$$ and $$${\color{green}457}$$$: $$$\frac{457}{457} = {\color{red}1}$$$.

Since we have obtained $$$1$$$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $$$914 = 2 \cdot 457$$$.

The prime factorization is $$$914 = 2 \cdot 457$$$A.