Prime factorization of $$$4562$$$

Find the prime factorization of $$$4562$$$.

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

Determine whether $$$4562$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4562$$$ by $$${\color{green}2}$$$: $$$\frac{4562}{2} = {\color{red}2281}$$$.

The prime number $$${\color{green}2281}$$$ has no other factors then $$$1$$$ and $$${\color{green}2281}$$$: $$$\frac{2281}{2281} = {\color{red}1}$$$.

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: $$$4562 = 2 \cdot 2281$$$.

The prime factorization is $$$4562 = 2 \cdot 2281$$$A.