Prime factorization of $$$2629$$$
Your Input
Find the prime factorization of $$$2629$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$2629$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$2629$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$2629$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$2629$$$ is divisible by $$$7$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$11$$$.
Determine whether $$$2629$$$ is divisible by $$$11$$$.
It is divisible, thus, divide $$$2629$$$ by $$${\color{green}11}$$$: $$$\frac{2629}{11} = {\color{red}239}$$$.
The prime number $$${\color{green}239}$$$ has no other factors then $$$1$$$ and $$${\color{green}239}$$$: $$$\frac{239}{239} = {\color{red}1}$$$.
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: $$$2629 = 11 \cdot 239$$$.
Answer
The prime factorization is $$$2629 = 11 \cdot 239$$$A.