# Prime factorization of $3483$

The calculator will find the prime factorization of $3483$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $3483$.

### Solution

Start with the number $2$.

Determine whether $3483$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $3483$ is divisible by $3$.

It is divisible, thus, divide $3483$ by ${\color{green}3}$: $\frac{3483}{3} = {\color{red}1161}$.

Determine whether $1161$ is divisible by $3$.

It is divisible, thus, divide $1161$ by ${\color{green}3}$: $\frac{1161}{3} = {\color{red}387}$.

Determine whether $387$ is divisible by $3$.

It is divisible, thus, divide $387$ by ${\color{green}3}$: $\frac{387}{3} = {\color{red}129}$.

Determine whether $129$ is divisible by $3$.

It is divisible, thus, divide $129$ by ${\color{green}3}$: $\frac{129}{3} = {\color{red}43}$.

The prime number ${\color{green}43}$ has no other factors then $1$ and ${\color{green}43}$: $\frac{43}{43} = {\color{red}1}$.

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: $3483 = 3^{4} \cdot 43$.

The prime factorization is $3483 = 3^{4} \cdot 43$A.