Prime factorization of $$$1923$$$

Find the prime factorization of $$$1923$$$.

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

Determine whether $$$1923$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$1923$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$1923$$$ by $$${\color{green}3}$$$: $$$\frac{1923}{3} = {\color{red}641}$$$.

The prime number $$${\color{green}641}$$$ has no other factors then $$$1$$$ and $$${\color{green}641}$$$: $$$\frac{641}{641} = {\color{red}1}$$$.

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: $$$1923 = 3 \cdot 641$$$.

The prime factorization is $$$1923 = 3 \cdot 641$$$A.