Prime factorization of $$$3862$$$

Find the prime factorization of $$$3862$$$.

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

Determine whether $$$3862$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3862$$$ by $$${\color{green}2}$$$: $$$\frac{3862}{2} = {\color{red}1931}$$$.

The prime number $$${\color{green}1931}$$$ has no other factors then $$$1$$$ and $$${\color{green}1931}$$$: $$$\frac{1931}{1931} = {\color{red}1}$$$.

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: $$$3862 = 2 \cdot 1931$$$.

The prime factorization is $$$3862 = 2 \cdot 1931$$$A.