Prime factorization of $$$1264$$$

Find the prime factorization of $$$1264$$$.

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

Determine whether $$$1264$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1264$$$ by $$${\color{green}2}$$$: $$$\frac{1264}{2} = {\color{red}632}$$$.

Determine whether $$$632$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$632$$$ by $$${\color{green}2}$$$: $$$\frac{632}{2} = {\color{red}316}$$$.

Determine whether $$$316$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$316$$$ by $$${\color{green}2}$$$: $$$\frac{316}{2} = {\color{red}158}$$$.

Determine whether $$$158$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$158$$$ by $$${\color{green}2}$$$: $$$\frac{158}{2} = {\color{red}79}$$$.

The prime number $$${\color{green}79}$$$ has no other factors then $$$1$$$ and $$${\color{green}79}$$$: $$$\frac{79}{79} = {\color{red}1}$$$.

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: $$$1264 = 2^{4} \cdot 79$$$.

The prime factorization is $$$1264 = 2^{4} \cdot 79$$$A.