Prime factorization of $$$3934$$$

Find the prime factorization of $$$3934$$$.

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

Determine whether $$$3934$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3934$$$ by $$${\color{green}2}$$$: $$$\frac{3934}{2} = {\color{red}1967}$$$.

Determine whether $$$1967$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$1967$$$ is divisible by $$$3$$$.

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

The next prime number is $$$5$$$.

Determine whether $$$1967$$$ is divisible by $$$5$$$.

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

The next prime number is $$$7$$$.

Determine whether $$$1967$$$ is divisible by $$$7$$$.

It is divisible, thus, divide $$$1967$$$ by $$${\color{green}7}$$$: $$$\frac{1967}{7} = {\color{red}281}$$$.

The prime number $$${\color{green}281}$$$ has no other factors then $$$1$$$ and $$${\color{green}281}$$$: $$$\frac{281}{281} = {\color{red}1}$$$.

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: $$$3934 = 2 \cdot 7 \cdot 281$$$.

The prime factorization is $$$3934 = 2 \cdot 7 \cdot 281$$$A.