# Prime factorization of $1468$

The calculator will find the prime factorization of $1468$, with steps shown.

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Find the prime factorization of $1468$.

### Solution

Start with the number $2$.

Determine whether $1468$ is divisible by $2$.

It is divisible, thus, divide $1468$ by ${\color{green}2}$: $\frac{1468}{2} = {\color{red}734}$.

Determine whether $734$ is divisible by $2$.

It is divisible, thus, divide $734$ by ${\color{green}2}$: $\frac{734}{2} = {\color{red}367}$.

The prime number ${\color{green}367}$ has no other factors then $1$ and ${\color{green}367}$: $\frac{367}{367} = {\color{red}1}$.

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: $1468 = 2^{2} \cdot 367$.

The prime factorization is $1468 = 2^{2} \cdot 367$A.