Prime factorization of $$$3824$$$
Your Input
Find the prime factorization of $$$3824$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3824$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$3824$$$ by $$${\color{green}2}$$$: $$$\frac{3824}{2} = {\color{red}1912}$$$.
Determine whether $$$1912$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$1912$$$ by $$${\color{green}2}$$$: $$$\frac{1912}{2} = {\color{red}956}$$$.
Determine whether $$$956$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$956$$$ by $$${\color{green}2}$$$: $$$\frac{956}{2} = {\color{red}478}$$$.
Determine whether $$$478$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$478$$$ by $$${\color{green}2}$$$: $$$\frac{478}{2} = {\color{red}239}$$$.
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: $$$3824 = 2^{4} \cdot 239$$$.
Answer
The prime factorization is $$$3824 = 2^{4} \cdot 239$$$A.