Prime factorization of $$$3734$$$

Find the prime factorization of $$$3734$$$.

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

Determine whether $$$3734$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3734$$$ by $$${\color{green}2}$$$: $$$\frac{3734}{2} = {\color{red}1867}$$$.

The prime number $$${\color{green}1867}$$$ has no other factors then $$$1$$$ and $$${\color{green}1867}$$$: $$$\frac{1867}{1867} = {\color{red}1}$$$.

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: $$$3734 = 2 \cdot 1867$$$.

The prime factorization is $$$3734 = 2 \cdot 1867$$$A.