Prime factorization of $$$1359$$$
Your Input
Find the prime factorization of $$$1359$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$1359$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$1359$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$1359$$$ by $$${\color{green}3}$$$: $$$\frac{1359}{3} = {\color{red}453}$$$.
Determine whether $$$453$$$ is divisible by $$$3$$$.
It is divisible, thus, divide $$$453$$$ by $$${\color{green}3}$$$: $$$\frac{453}{3} = {\color{red}151}$$$.
The prime number $$${\color{green}151}$$$ has no other factors then $$$1$$$ and $$${\color{green}151}$$$: $$$\frac{151}{151} = {\color{red}1}$$$.
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: $$$1359 = 3^{2} \cdot 151$$$.
Answer
The prime factorization is $$$1359 = 3^{2} \cdot 151$$$A.