Prime factorization of $$$1522$$$

Find the prime factorization of $$$1522$$$.

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

Determine whether $$$1522$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1522$$$ by $$${\color{green}2}$$$: $$$\frac{1522}{2} = {\color{red}761}$$$.

The prime number $$${\color{green}761}$$$ has no other factors then $$$1$$$ and $$${\color{green}761}$$$: $$$\frac{761}{761} = {\color{red}1}$$$.

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: $$$1522 = 2 \cdot 761$$$.

The prime factorization is $$$1522 = 2 \cdot 761$$$A.