Prime factorization of $$$3455$$$

Find the prime factorization of $$$3455$$$.

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

Determine whether $$$3455$$$ is divisible by $$$2$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$3$$$.

Determine whether $$$3455$$$ is divisible by $$$3$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$5$$$.

Determine whether $$$3455$$$ is divisible by $$$5$$$.

It is divisible, thus, divide $$$3455$$$ by $$${\color{green}5}$$$: $$$\frac{3455}{5} = {\color{red}691}$$$.

The prime number $$${\color{green}691}$$$ has no other factors then $$$1$$$ and $$${\color{green}691}$$$: $$$\frac{691}{691} = {\color{red}1}$$$.

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: $$$3455 = 5 \cdot 691$$$.

The prime factorization is $$$3455 = 5 \cdot 691$$$A.