# Prime factorization of $3020$

The calculator will find the prime factorization of $3020$, with steps shown.

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Find the prime factorization of $3020$.

### Solution

Start with the number $2$.

Determine whether $3020$ is divisible by $2$.

It is divisible, thus, divide $3020$ by ${\color{green}2}$: $\frac{3020}{2} = {\color{red}1510}$.

Determine whether $1510$ is divisible by $2$.

It is divisible, thus, divide $1510$ by ${\color{green}2}$: $\frac{1510}{2} = {\color{red}755}$.

Determine whether $755$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $755$ is divisible by $3$.

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

The next prime number is $5$.

Determine whether $755$ is divisible by $5$.

It is divisible, thus, divide $755$ by ${\color{green}5}$: $\frac{755}{5} = {\color{red}151}$.

The prime number ${\color{green}151}$ has no other factors then $1$ and ${\color{green}151}$: $\frac{151}{151} = {\color{red}1}$.

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: $3020 = 2^{2} \cdot 5 \cdot 151$.

The prime factorization is $3020 = 2^{2} \cdot 5 \cdot 151$A.