# Prime factorization of $1852$

The calculator will find the prime factorization of $1852$, with steps shown.

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Find the prime factorization of $1852$.

### Solution

Start with the number $2$.

Determine whether $1852$ is divisible by $2$.

It is divisible, thus, divide $1852$ by ${\color{green}2}$: $\frac{1852}{2} = {\color{red}926}$.

Determine whether $926$ is divisible by $2$.

It is divisible, thus, divide $926$ by ${\color{green}2}$: $\frac{926}{2} = {\color{red}463}$.

The prime number ${\color{green}463}$ has no other factors then $1$ and ${\color{green}463}$: $\frac{463}{463} = {\color{red}1}$.

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: $1852 = 2^{2} \cdot 463$.

The prime factorization is $1852 = 2^{2} \cdot 463$A.