Prime factorization of $$$807$$$

The calculator will find the prime factorization of $$$807$$$, with steps shown.

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Find the prime factorization of $$$807$$$.


Start with the number $$$2$$$.

Determine whether $$$807$$$ is divisible by $$$2$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$3$$$.

Determine whether $$$807$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$807$$$ by $$${\color{green}3}$$$: $$$\frac{807}{3} = {\color{red}269}$$$.

The prime number $$${\color{green}269}$$$ has no other factors then $$$1$$$ and $$${\color{green}269}$$$: $$$\frac{269}{269} = {\color{red}1}$$$.

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: $$$807 = 3 \cdot 269$$$.


The prime factorization is $$$807 = 3 \cdot 269$$$A.