Prime factorization of $$$4101$$$

Find the prime factorization of $$$4101$$$.

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

Determine whether $$$4101$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$4101$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$4101$$$ by $$${\color{green}3}$$$: $$$\frac{4101}{3} = {\color{red}1367}$$$.

The prime number $$${\color{green}1367}$$$ has no other factors then $$$1$$$ and $$${\color{green}1367}$$$: $$$\frac{1367}{1367} = {\color{red}1}$$$.

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: $$$4101 = 3 \cdot 1367$$$.

The prime factorization is $$$4101 = 3 \cdot 1367$$$A.