# Prime factorization of $3620$

The calculator will find the prime factorization of $3620$, with steps shown.

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Find the prime factorization of $3620$.

### Solution

Start with the number $2$.

Determine whether $3620$ is divisible by $2$.

It is divisible, thus, divide $3620$ by ${\color{green}2}$: $\frac{3620}{2} = {\color{red}1810}$.

Determine whether $1810$ is divisible by $2$.

It is divisible, thus, divide $1810$ by ${\color{green}2}$: $\frac{1810}{2} = {\color{red}905}$.

Determine whether $905$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $905$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $905$ is divisible by $5$.

It is divisible, thus, divide $905$ by ${\color{green}5}$: $\frac{905}{5} = {\color{red}181}$.

The prime number ${\color{green}181}$ has no other factors then $1$ and ${\color{green}181}$: $\frac{181}{181} = {\color{red}1}$.

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: $3620 = 2^{2} \cdot 5 \cdot 181$.

The prime factorization is $3620 = 2^{2} \cdot 5 \cdot 181$A.