# Prime factorization of $1052$

The calculator will find the prime factorization of $1052$, with steps shown.

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Find the prime factorization of $1052$.

### Solution

Start with the number $2$.

Determine whether $1052$ is divisible by $2$.

It is divisible, thus, divide $1052$ by ${\color{green}2}$: $\frac{1052}{2} = {\color{red}526}$.

Determine whether $526$ is divisible by $2$.

It is divisible, thus, divide $526$ by ${\color{green}2}$: $\frac{526}{2} = {\color{red}263}$.

The prime number ${\color{green}263}$ has no other factors then $1$ and ${\color{green}263}$: $\frac{263}{263} = {\color{red}1}$.

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: $1052 = 2^{2} \cdot 263$.

The prime factorization is $1052 = 2^{2} \cdot 263$A.