Prime factorization of $$$2859$$$

Find the prime factorization of $$$2859$$$.

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

Determine whether $$$2859$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$2859$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$2859$$$ by $$${\color{green}3}$$$: $$$\frac{2859}{3} = {\color{red}953}$$$.

The prime number $$${\color{green}953}$$$ has no other factors then $$$1$$$ and $$${\color{green}953}$$$: $$$\frac{953}{953} = {\color{red}1}$$$.

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: $$$2859 = 3 \cdot 953$$$.

The prime factorization is $$$2859 = 3 \cdot 953$$$A.