# Prime factorization of $4820$

The calculator will find the prime factorization of $4820$, with steps shown.

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Find the prime factorization of $4820$.

### Solution

Start with the number $2$.

Determine whether $4820$ is divisible by $2$.

It is divisible, thus, divide $4820$ by ${\color{green}2}$: $\frac{4820}{2} = {\color{red}2410}$.

Determine whether $2410$ is divisible by $2$.

It is divisible, thus, divide $2410$ by ${\color{green}2}$: $\frac{2410}{2} = {\color{red}1205}$.

Determine whether $1205$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $1205$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $1205$ is divisible by $5$.

It is divisible, thus, divide $1205$ by ${\color{green}5}$: $\frac{1205}{5} = {\color{red}241}$.

The prime number ${\color{green}241}$ has no other factors then $1$ and ${\color{green}241}$: $\frac{241}{241} = {\color{red}1}$.

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: $4820 = 2^{2} \cdot 5 \cdot 241$.

The prime factorization is $4820 = 2^{2} \cdot 5 \cdot 241$A.