Prime factorization of $$$1142$$$

Find the prime factorization of $$$1142$$$.

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

Determine whether $$$1142$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1142$$$ by $$${\color{green}2}$$$: $$$\frac{1142}{2} = {\color{red}571}$$$.

The prime number $$${\color{green}571}$$$ has no other factors then $$$1$$$ and $$${\color{green}571}$$$: $$$\frac{571}{571} = {\color{red}1}$$$.

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: $$$1142 = 2 \cdot 571$$$.

The prime factorization is $$$1142 = 2 \cdot 571$$$A.