Prime factorization of $$$3142$$$

Find the prime factorization of $$$3142$$$.

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

Determine whether $$$3142$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3142$$$ by $$${\color{green}2}$$$: $$$\frac{3142}{2} = {\color{red}1571}$$$.

The prime number $$${\color{green}1571}$$$ has no other factors then $$$1$$$ and $$${\color{green}1571}$$$: $$$\frac{1571}{1571} = {\color{red}1}$$$.

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: $$$3142 = 2 \cdot 1571$$$.

The prime factorization is $$$3142 = 2 \cdot 1571$$$A.