# Prime factorization of $3573$

The calculator will find the prime factorization of $3573$, with steps shown.

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Find the prime factorization of $3573$.

### Solution

Start with the number $2$.

Determine whether $3573$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $3573$ is divisible by $3$.

It is divisible, thus, divide $3573$ by ${\color{green}3}$: $\frac{3573}{3} = {\color{red}1191}$.

Determine whether $1191$ is divisible by $3$.

It is divisible, thus, divide $1191$ by ${\color{green}3}$: $\frac{1191}{3} = {\color{red}397}$.

The prime number ${\color{green}397}$ has no other factors then $1$ and ${\color{green}397}$: $\frac{397}{397} = {\color{red}1}$.

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: $3573 = 3^{2} \cdot 397$.

The prime factorization is $3573 = 3^{2} \cdot 397$A.