Prime factorization of $$$2978$$$

Find the prime factorization of $$$2978$$$.

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

Determine whether $$$2978$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2978$$$ by $$${\color{green}2}$$$: $$$\frac{2978}{2} = {\color{red}1489}$$$.

The prime number $$${\color{green}1489}$$$ has no other factors then $$$1$$$ and $$${\color{green}1489}$$$: $$$\frac{1489}{1489} = {\color{red}1}$$$.

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: $$$2978 = 2 \cdot 1489$$$.

The prime factorization is $$$2978 = 2 \cdot 1489$$$A.