Prime factorization of $$$4387$$$
Your Input
Find the prime factorization of $$$4387$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$4387$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$4387$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$4387$$$ is divisible by $$$5$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$7$$$.
Determine whether $$$4387$$$ is divisible by $$$7$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$11$$$.
Determine whether $$$4387$$$ is divisible by $$$11$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$13$$$.
Determine whether $$$4387$$$ is divisible by $$$13$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$17$$$.
Determine whether $$$4387$$$ is divisible by $$$17$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$19$$$.
Determine whether $$$4387$$$ is divisible by $$$19$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$23$$$.
Determine whether $$$4387$$$ is divisible by $$$23$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$29$$$.
Determine whether $$$4387$$$ is divisible by $$$29$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$31$$$.
Determine whether $$$4387$$$ is divisible by $$$31$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$37$$$.
Determine whether $$$4387$$$ is divisible by $$$37$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$41$$$.
Determine whether $$$4387$$$ is divisible by $$$41$$$.
It is divisible, thus, divide $$$4387$$$ by $$${\color{green}41}$$$: $$$\frac{4387}{41} = {\color{red}107}$$$.
The prime number $$${\color{green}107}$$$ has no other factors then $$$1$$$ and $$${\color{green}107}$$$: $$$\frac{107}{107} = {\color{red}1}$$$.
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: $$$4387 = 41 \cdot 107$$$.
Answer
The prime factorization is $$$4387 = 41 \cdot 107$$$A.