Prime factorization of $$$3884$$$

Find the prime factorization of $$$3884$$$.

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

Determine whether $$$3884$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3884$$$ by $$${\color{green}2}$$$: $$$\frac{3884}{2} = {\color{red}1942}$$$.

Determine whether $$$1942$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1942$$$ by $$${\color{green}2}$$$: $$$\frac{1942}{2} = {\color{red}971}$$$.

The prime number $$${\color{green}971}$$$ has no other factors then $$$1$$$ and $$${\color{green}971}$$$: $$$\frac{971}{971} = {\color{red}1}$$$.

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: $$$3884 = 2^{2} \cdot 971$$$.

The prime factorization is $$$3884 = 2^{2} \cdot 971$$$A.