Prime factorization of $$$4778$$$

Find the prime factorization of $$$4778$$$.

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

Determine whether $$$4778$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4778$$$ by $$${\color{green}2}$$$: $$$\frac{4778}{2} = {\color{red}2389}$$$.

The prime number $$${\color{green}2389}$$$ has no other factors then $$$1$$$ and $$${\color{green}2389}$$$: $$$\frac{2389}{2389} = {\color{red}1}$$$.

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: $$$4778 = 2 \cdot 2389$$$.

The prime factorization is $$$4778 = 2 \cdot 2389$$$A.