Prime factorization of $$$3868$$$

Find the prime factorization of $$$3868$$$.

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

Determine whether $$$3868$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3868$$$ by $$${\color{green}2}$$$: $$$\frac{3868}{2} = {\color{red}1934}$$$.

Determine whether $$$1934$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1934$$$ by $$${\color{green}2}$$$: $$$\frac{1934}{2} = {\color{red}967}$$$.

The prime number $$${\color{green}967}$$$ has no other factors then $$$1$$$ and $$${\color{green}967}$$$: $$$\frac{967}{967} = {\color{red}1}$$$.

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: $$$3868 = 2^{2} \cdot 967$$$.

The prime factorization is $$$3868 = 2^{2} \cdot 967$$$A.