# Prime factorization of $4348$

The calculator will find the prime factorization of $4348$, with steps shown.

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Find the prime factorization of $4348$.

### Solution

Start with the number $2$.

Determine whether $4348$ is divisible by $2$.

It is divisible, thus, divide $4348$ by ${\color{green}2}$: $\frac{4348}{2} = {\color{red}2174}$.

Determine whether $2174$ is divisible by $2$.

It is divisible, thus, divide $2174$ by ${\color{green}2}$: $\frac{2174}{2} = {\color{red}1087}$.

The prime number ${\color{green}1087}$ has no other factors then $1$ and ${\color{green}1087}$: $\frac{1087}{1087} = {\color{red}1}$.

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: $4348 = 2^{2} \cdot 1087$.

The prime factorization is $4348 = 2^{2} \cdot 1087$A.