Prime factorization of $$$1486$$$

Find the prime factorization of $$$1486$$$.

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

Determine whether $$$1486$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1486$$$ by $$${\color{green}2}$$$: $$$\frac{1486}{2} = {\color{red}743}$$$.

The prime number $$${\color{green}743}$$$ has no other factors then $$$1$$$ and $$${\color{green}743}$$$: $$$\frac{743}{743} = {\color{red}1}$$$.

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: $$$1486 = 2 \cdot 743$$$.

The prime factorization is $$$1486 = 2 \cdot 743$$$A.