# Prime factorization of $4052$

The calculator will find the prime factorization of $4052$, with steps shown.

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Find the prime factorization of $4052$.

### Solution

Start with the number $2$.

Determine whether $4052$ is divisible by $2$.

It is divisible, thus, divide $4052$ by ${\color{green}2}$: $\frac{4052}{2} = {\color{red}2026}$.

Determine whether $2026$ is divisible by $2$.

It is divisible, thus, divide $2026$ by ${\color{green}2}$: $\frac{2026}{2} = {\color{red}1013}$.

The prime number ${\color{green}1013}$ has no other factors then $1$ and ${\color{green}1013}$: $\frac{1013}{1013} = {\color{red}1}$.

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: $4052 = 2^{2} \cdot 1013$.

The prime factorization is $4052 = 2^{2} \cdot 1013$A.