# Prime factorization of $4869$

The calculator will find the prime factorization of $4869$, with steps shown.

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Find the prime factorization of $4869$.

### Solution

Start with the number $2$.

Determine whether $4869$ is divisible by $2$.

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

The next prime number is $3$.

Determine whether $4869$ is divisible by $3$.

It is divisible, thus, divide $4869$ by ${\color{green}3}$: $\frac{4869}{3} = {\color{red}1623}$.

Determine whether $1623$ is divisible by $3$.

It is divisible, thus, divide $1623$ by ${\color{green}3}$: $\frac{1623}{3} = {\color{red}541}$.

The prime number ${\color{green}541}$ has no other factors then $1$ and ${\color{green}541}$: $\frac{541}{541} = {\color{red}1}$.

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: $4869 = 3^{2} \cdot 541$.

The prime factorization is $4869 = 3^{2} \cdot 541$A.