Prime factorization of $$$2906$$$
Your Input
Find the prime factorization of $$$2906$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2906$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$2906$$$ by $$${\color{green}2}$$$: $$$\frac{2906}{2} = {\color{red}1453}$$$.
The prime number $$${\color{green}1453}$$$ has no other factors then $$$1$$$ and $$${\color{green}1453}$$$: $$$\frac{1453}{1453} = {\color{red}1}$$$.
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: $$$2906 = 2 \cdot 1453$$$.
Answer
The prime factorization is $$$2906 = 2 \cdot 1453$$$A.