Prime factorization of $$$4274$$$

Find the prime factorization of $$$4274$$$.

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

Determine whether $$$4274$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4274$$$ by $$${\color{green}2}$$$: $$$\frac{4274}{2} = {\color{red}2137}$$$.

The prime number $$${\color{green}2137}$$$ has no other factors then $$$1$$$ and $$${\color{green}2137}$$$: $$$\frac{2137}{2137} = {\color{red}1}$$$.

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: $$$4274 = 2 \cdot 2137$$$.

The prime factorization is $$$4274 = 2 \cdot 2137$$$A.