# Prime factorization of $1436$

The calculator will find the prime factorization of $1436$, with steps shown.

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Find the prime factorization of $1436$.

### Solution

Start with the number $2$.

Determine whether $1436$ is divisible by $2$.

It is divisible, thus, divide $1436$ by ${\color{green}2}$: $\frac{1436}{2} = {\color{red}718}$.

Determine whether $718$ is divisible by $2$.

It is divisible, thus, divide $718$ by ${\color{green}2}$: $\frac{718}{2} = {\color{red}359}$.

The prime number ${\color{green}359}$ has no other factors then $1$ and ${\color{green}359}$: $\frac{359}{359} = {\color{red}1}$.

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: $1436 = 2^{2} \cdot 359$.

The prime factorization is $1436 = 2^{2} \cdot 359$A.