Prime factorization of $$$2124$$$

The calculator will find the prime factorization of $$$2124$$$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the prime factorization of $$$2124$$$.

Solution

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

Determine whether $$$2124$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$2124$$$ by $$${\color{green}2}$$$: $$$\frac{2124}{2} = {\color{red}1062}$$$.

Determine whether $$$1062$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1062$$$ by $$${\color{green}2}$$$: $$$\frac{1062}{2} = {\color{red}531}$$$.

Determine whether $$$531$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$531$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$531$$$ by $$${\color{green}3}$$$: $$$\frac{531}{3} = {\color{red}177}$$$.

Determine whether $$$177$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$177$$$ by $$${\color{green}3}$$$: $$$\frac{177}{3} = {\color{red}59}$$$.

The prime number $$${\color{green}59}$$$ has no other factors then $$$1$$$ and $$${\color{green}59}$$$: $$$\frac{59}{59} = {\color{red}1}$$$.

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: $$$2124 = 2^{2} \cdot 3^{2} \cdot 59$$$.

Answer

The prime factorization is $$$2124 = 2^{2} \cdot 3^{2} \cdot 59$$$A.