Prime factorization of $$$3554$$$

Find the prime factorization of $$$3554$$$.

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

Determine whether $$$3554$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3554$$$ by $$${\color{green}2}$$$: $$$\frac{3554}{2} = {\color{red}1777}$$$.

The prime number $$${\color{green}1777}$$$ has no other factors then $$$1$$$ and $$${\color{green}1777}$$$: $$$\frac{1777}{1777} = {\color{red}1}$$$.

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: $$$3554 = 2 \cdot 1777$$$.

The prime factorization is $$$3554 = 2 \cdot 1777$$$A.