Prime factorization of $$$4443$$$

Find the prime factorization of $$$4443$$$.

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

Determine whether $$$4443$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$4443$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$4443$$$ by $$${\color{green}3}$$$: $$$\frac{4443}{3} = {\color{red}1481}$$$.

The prime number $$${\color{green}1481}$$$ has no other factors then $$$1$$$ and $$${\color{green}1481}$$$: $$$\frac{1481}{1481} = {\color{red}1}$$$.

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: $$$4443 = 3 \cdot 1481$$$.

The prime factorization is $$$4443 = 3 \cdot 1481$$$A.