Prime factorization of $$$1882$$$

Find the prime factorization of $$$1882$$$.

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

Determine whether $$$1882$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1882$$$ by $$${\color{green}2}$$$: $$$\frac{1882}{2} = {\color{red}941}$$$.

The prime number $$${\color{green}941}$$$ has no other factors then $$$1$$$ and $$${\color{green}941}$$$: $$$\frac{941}{941} = {\color{red}1}$$$.

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: $$$1882 = 2 \cdot 941$$$.

The prime factorization is $$$1882 = 2 \cdot 941$$$A.