Prime factorization of $$$4670$$$

Find the prime factorization of $$$4670$$$.

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

Determine whether $$$4670$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4670$$$ by $$${\color{green}2}$$$: $$$\frac{4670}{2} = {\color{red}2335}$$$.

Determine whether $$$2335$$$ is divisible by $$$2$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$3$$$.

Determine whether $$$2335$$$ is divisible by $$$3$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$5$$$.

Determine whether $$$2335$$$ is divisible by $$$5$$$.

It is divisible, thus, divide $$$2335$$$ by $$${\color{green}5}$$$: $$$\frac{2335}{5} = {\color{red}467}$$$.

The prime number $$${\color{green}467}$$$ has no other factors then $$$1$$$ and $$${\color{green}467}$$$: $$$\frac{467}{467} = {\color{red}1}$$$.

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: $$$4670 = 2 \cdot 5 \cdot 467$$$.

The prime factorization is $$$4670 = 2 \cdot 5 \cdot 467$$$A.