Prime factorization of $$$3578$$$

Find the prime factorization of $$$3578$$$.

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

Determine whether $$$3578$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3578$$$ by $$${\color{green}2}$$$: $$$\frac{3578}{2} = {\color{red}1789}$$$.

The prime number $$${\color{green}1789}$$$ has no other factors then $$$1$$$ and $$${\color{green}1789}$$$: $$$\frac{1789}{1789} = {\color{red}1}$$$.

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: $$$3578 = 2 \cdot 1789$$$.

The prime factorization is $$$3578 = 2 \cdot 1789$$$A.