Prime factorization of $$$3831$$$

Find the prime factorization of $$$3831$$$.

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

Determine whether $$$3831$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$3831$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$3831$$$ by $$${\color{green}3}$$$: $$$\frac{3831}{3} = {\color{red}1277}$$$.

The prime number $$${\color{green}1277}$$$ has no other factors then $$$1$$$ and $$${\color{green}1277}$$$: $$$\frac{1277}{1277} = {\color{red}1}$$$.

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: $$$3831 = 3 \cdot 1277$$$.

The prime factorization is $$$3831 = 3 \cdot 1277$$$A.