Prime factorization of $$$4762$$$

Find the prime factorization of $$$4762$$$.

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

Determine whether $$$4762$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4762$$$ by $$${\color{green}2}$$$: $$$\frac{4762}{2} = {\color{red}2381}$$$.

The prime number $$${\color{green}2381}$$$ has no other factors then $$$1$$$ and $$${\color{green}2381}$$$: $$$\frac{2381}{2381} = {\color{red}1}$$$.

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: $$$4762 = 2 \cdot 2381$$$.

The prime factorization is $$$4762 = 2 \cdot 2381$$$A.