# Prime factorization of $4208$

The calculator will find the prime factorization of $4208$, with steps shown.

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Find the prime factorization of $4208$.

### Solution

Start with the number $2$.

Determine whether $4208$ is divisible by $2$.

It is divisible, thus, divide $4208$ by ${\color{green}2}$: $\frac{4208}{2} = {\color{red}2104}$.

Determine whether $2104$ is divisible by $2$.

It is divisible, thus, divide $2104$ by ${\color{green}2}$: $\frac{2104}{2} = {\color{red}1052}$.

Determine whether $1052$ is divisible by $2$.

It is divisible, thus, divide $1052$ by ${\color{green}2}$: $\frac{1052}{2} = {\color{red}526}$.

Determine whether $526$ is divisible by $2$.

It is divisible, thus, divide $526$ by ${\color{green}2}$: $\frac{526}{2} = {\color{red}263}$.

The prime number ${\color{green}263}$ has no other factors then $1$ and ${\color{green}263}$: $\frac{263}{263} = {\color{red}1}$.

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: $4208 = 2^{4} \cdot 263$.

The prime factorization is $4208 = 2^{4} \cdot 263$A.