Prime factorization of $$$2230$$$

Find the prime factorization of $$$2230$$$.

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

Determine whether $$$2230$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2230$$$ by $$${\color{green}2}$$$: $$$\frac{2230}{2} = {\color{red}1115}$$$.

Determine whether $$$1115$$$ is divisible by $$$2$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$3$$$.

Determine whether $$$1115$$$ is divisible by $$$3$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$5$$$.

Determine whether $$$1115$$$ is divisible by $$$5$$$.

It is divisible, thus, divide $$$1115$$$ by $$${\color{green}5}$$$: $$$\frac{1115}{5} = {\color{red}223}$$$.

The prime number $$${\color{green}223}$$$ has no other factors then $$$1$$$ and $$${\color{green}223}$$$: $$$\frac{223}{223} = {\color{red}1}$$$.

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: $$$2230 = 2 \cdot 5 \cdot 223$$$.

The prime factorization is $$$2230 = 2 \cdot 5 \cdot 223$$$A.