# Prime factorization of $4856$

The calculator will find the prime factorization of $4856$, with steps shown.

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Find the prime factorization of $4856$.

### Solution

Start with the number $2$.

Determine whether $4856$ is divisible by $2$.

It is divisible, thus, divide $4856$ by ${\color{green}2}$: $\frac{4856}{2} = {\color{red}2428}$.

Determine whether $2428$ is divisible by $2$.

It is divisible, thus, divide $2428$ by ${\color{green}2}$: $\frac{2428}{2} = {\color{red}1214}$.

Determine whether $1214$ is divisible by $2$.

It is divisible, thus, divide $1214$ by ${\color{green}2}$: $\frac{1214}{2} = {\color{red}607}$.

The prime number ${\color{green}607}$ has no other factors then $1$ and ${\color{green}607}$: $\frac{607}{607} = {\color{red}1}$.

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: $4856 = 2^{3} \cdot 607$.

The prime factorization is $4856 = 2^{3} \cdot 607$A.