Prime factorization of $$$3898$$$

Find the prime factorization of $$$3898$$$.

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

Determine whether $$$3898$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3898$$$ by $$${\color{green}2}$$$: $$$\frac{3898}{2} = {\color{red}1949}$$$.

The prime number $$${\color{green}1949}$$$ has no other factors then $$$1$$$ and $$${\color{green}1949}$$$: $$$\frac{1949}{1949} = {\color{red}1}$$$.

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: $$$3898 = 2 \cdot 1949$$$.

The prime factorization is $$$3898 = 2 \cdot 1949$$$A.