Prime factorization of $$$3742$$$

Find the prime factorization of $$$3742$$$.

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

Determine whether $$$3742$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3742$$$ by $$${\color{green}2}$$$: $$$\frac{3742}{2} = {\color{red}1871}$$$.

The prime number $$${\color{green}1871}$$$ has no other factors then $$$1$$$ and $$${\color{green}1871}$$$: $$$\frac{1871}{1871} = {\color{red}1}$$$.

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: $$$3742 = 2 \cdot 1871$$$.

The prime factorization is $$$3742 = 2 \cdot 1871$$$A.