Prime factorization of $$$58$$$

Find the prime factorization of $$$58$$$.

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

Determine whether $$$58$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$58$$$ by $$${\color{green}2}$$$: $$$\frac{58}{2} = {\color{red}29}$$$.

The prime number $$${\color{green}29}$$$ has no other factors then $$$1$$$ and $$${\color{green}29}$$$: $$$\frac{29}{29} = {\color{red}1}$$$.

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: $$$58 = 2 \cdot 29$$$.

The prime factorization is $$$58 = 2 \cdot 29$$$A.