Prime factorization of $$$2854$$$
Your Input
Find the prime factorization of $$$2854$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2854$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2854$$$ by $$${\color{green}2}$$$: $$$\frac{2854}{2} = {\color{red}1427}$$$.
The prime number $$${\color{green}1427}$$$ has no other factors then $$$1$$$ and $$${\color{green}1427}$$$: $$$\frac{1427}{1427} = {\color{red}1}$$$.
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: $$$2854 = 2 \cdot 1427$$$.
Answer
The prime factorization is $$$2854 = 2 \cdot 1427$$$A.