Prime factorization of $$$3070$$$

Find the prime factorization of $$$3070$$$.

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

Determine whether $$$3070$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3070$$$ by $$${\color{green}2}$$$: $$$\frac{3070}{2} = {\color{red}1535}$$$.

Determine whether $$$1535$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$1535$$$ is divisible by $$$3$$$.

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

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

Determine whether $$$1535$$$ is divisible by $$$5$$$.

It is divisible, thus, divide $$$1535$$$ by $$${\color{green}5}$$$: $$$\frac{1535}{5} = {\color{red}307}$$$.

The prime number $$${\color{green}307}$$$ has no other factors then $$$1$$$ and $$${\color{green}307}$$$: $$$\frac{307}{307} = {\color{red}1}$$$.

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: $$$3070 = 2 \cdot 5 \cdot 307$$$.

The prime factorization is $$$3070 = 2 \cdot 5 \cdot 307$$$A.