Prime factorization of $$$1774$$$

Find the prime factorization of $$$1774$$$.

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

Determine whether $$$1774$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1774$$$ by $$${\color{green}2}$$$: $$$\frac{1774}{2} = {\color{red}887}$$$.

The prime number $$${\color{green}887}$$$ has no other factors then $$$1$$$ and $$${\color{green}887}$$$: $$$\frac{887}{887} = {\color{red}1}$$$.

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: $$$1774 = 2 \cdot 887$$$.

The prime factorization is $$$1774 = 2 \cdot 887$$$A.