# Prime factorization of $4540$

The calculator will find the prime factorization of $4540$, with steps shown.

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Find the prime factorization of $4540$.

### Solution

Start with the number $2$.

Determine whether $4540$ is divisible by $2$.

It is divisible, thus, divide $4540$ by ${\color{green}2}$: $\frac{4540}{2} = {\color{red}2270}$.

Determine whether $2270$ is divisible by $2$.

It is divisible, thus, divide $2270$ by ${\color{green}2}$: $\frac{2270}{2} = {\color{red}1135}$.

Determine whether $1135$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1135$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1135$ is divisible by $5$.

It is divisible, thus, divide $1135$ by ${\color{green}5}$: $\frac{1135}{5} = {\color{red}227}$.

The prime number ${\color{green}227}$ has no other factors then $1$ and ${\color{green}227}$: $\frac{227}{227} = {\color{red}1}$.

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: $4540 = 2^{2} \cdot 5 \cdot 227$.

The prime factorization is $4540 = 2^{2} \cdot 5 \cdot 227$A.