# Prime factorization of $3436$

The calculator will find the prime factorization of $3436$, with steps shown.

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Find the prime factorization of $3436$.

### Solution

Start with the number $2$.

Determine whether $3436$ is divisible by $2$.

It is divisible, thus, divide $3436$ by ${\color{green}2}$: $\frac{3436}{2} = {\color{red}1718}$.

Determine whether $1718$ is divisible by $2$.

It is divisible, thus, divide $1718$ by ${\color{green}2}$: $\frac{1718}{2} = {\color{red}859}$.

The prime number ${\color{green}859}$ has no other factors then $1$ and ${\color{green}859}$: $\frac{859}{859} = {\color{red}1}$.

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: $3436 = 2^{2} \cdot 859$.

The prime factorization is $3436 = 2^{2} \cdot 859$A.