# Prime factorization of $4430$

The calculator will find the prime factorization of $4430$, with steps shown.

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Find the prime factorization of $4430$.

### Solution

Start with the number $2$.

Determine whether $4430$ is divisible by $2$.

It is divisible, thus, divide $4430$ by ${\color{green}2}$: $\frac{4430}{2} = {\color{red}2215}$.

Determine whether $2215$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $2215$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $2215$ is divisible by $5$.

It is divisible, thus, divide $2215$ by ${\color{green}5}$: $\frac{2215}{5} = {\color{red}443}$.

The prime number ${\color{green}443}$ has no other factors then $1$ and ${\color{green}443}$: $\frac{443}{443} = {\color{red}1}$.

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: $4430 = 2 \cdot 5 \cdot 443$.

The prime factorization is $4430 = 2 \cdot 5 \cdot 443$A.