Prime factorization of $$$1234$$$

Find the prime factorization of $$$1234$$$.

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

Determine whether $$$1234$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1234$$$ by $$${\color{green}2}$$$: $$$\frac{1234}{2} = {\color{red}617}$$$.

The prime number $$${\color{green}617}$$$ has no other factors then $$$1$$$ and $$${\color{green}617}$$$: $$$\frac{617}{617} = {\color{red}1}$$$.

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: $$$1234 = 2 \cdot 617$$$.

The prime factorization is $$$1234 = 2 \cdot 617$$$A.