Prime factorization of $$$4586$$$

Find the prime factorization of $$$4586$$$.

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

Determine whether $$$4586$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4586$$$ by $$${\color{green}2}$$$: $$$\frac{4586}{2} = {\color{red}2293}$$$.

The prime number $$${\color{green}2293}$$$ has no other factors then $$$1$$$ and $$${\color{green}2293}$$$: $$$\frac{2293}{2293} = {\color{red}1}$$$.

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: $$$4586 = 2 \cdot 2293$$$.

The prime factorization is $$$4586 = 2 \cdot 2293$$$A.