Prime factorization of $$$3764$$$

Find the prime factorization of $$$3764$$$.

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

Determine whether $$$3764$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3764$$$ by $$${\color{green}2}$$$: $$$\frac{3764}{2} = {\color{red}1882}$$$.

Determine whether $$$1882$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1882$$$ by $$${\color{green}2}$$$: $$$\frac{1882}{2} = {\color{red}941}$$$.

The prime number $$${\color{green}941}$$$ has no other factors then $$$1$$$ and $$${\color{green}941}$$$: $$$\frac{941}{941} = {\color{red}1}$$$.

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: $$$3764 = 2^{2} \cdot 941$$$.

The prime factorization is $$$3764 = 2^{2} \cdot 941$$$A.