Prime factorization of $$$1402$$$

Find the prime factorization of $$$1402$$$.

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

Determine whether $$$1402$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1402$$$ by $$${\color{green}2}$$$: $$$\frac{1402}{2} = {\color{red}701}$$$.

The prime number $$${\color{green}701}$$$ has no other factors then $$$1$$$ and $$${\color{green}701}$$$: $$$\frac{701}{701} = {\color{red}1}$$$.

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: $$$1402 = 2 \cdot 701$$$.

The prime factorization is $$$1402 = 2 \cdot 701$$$A.