Prime factorization of $$$3526$$$

The calculator will find the prime factorization of $$$3526$$$, 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 $$$3526$$$.

Solution

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

Determine whether $$$3526$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$3526$$$ by $$${\color{green}2}$$$: $$$\frac{3526}{2} = {\color{red}1763}$$$.

Determine whether $$$1763$$$ is divisible by $$$2$$$.

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

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

Determine whether $$$1763$$$ is divisible by $$$3$$$.

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

The next prime number is $$$5$$$.

Determine whether $$$1763$$$ is divisible by $$$5$$$.

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

The next prime number is $$$7$$$.

Determine whether $$$1763$$$ is divisible by $$$7$$$.

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

The next prime number is $$$11$$$.

Determine whether $$$1763$$$ is divisible by $$$11$$$.

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

The next prime number is $$$13$$$.

Determine whether $$$1763$$$ is divisible by $$$13$$$.

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

The next prime number is $$$17$$$.

Determine whether $$$1763$$$ is divisible by $$$17$$$.

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

The next prime number is $$$19$$$.

Determine whether $$$1763$$$ is divisible by $$$19$$$.

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

The next prime number is $$$23$$$.

Determine whether $$$1763$$$ is divisible by $$$23$$$.

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

The next prime number is $$$29$$$.

Determine whether $$$1763$$$ is divisible by $$$29$$$.

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

The next prime number is $$$31$$$.

Determine whether $$$1763$$$ is divisible by $$$31$$$.

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

The next prime number is $$$37$$$.

Determine whether $$$1763$$$ is divisible by $$$37$$$.

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

The next prime number is $$$41$$$.

Determine whether $$$1763$$$ is divisible by $$$41$$$.

It is divisible, thus, divide $$$1763$$$ by $$${\color{green}41}$$$: $$$\frac{1763}{41} = {\color{red}43}$$$.

The prime number $$${\color{green}43}$$$ has no other factors then $$$1$$$ and $$${\color{green}43}$$$: $$$\frac{43}{43} = {\color{red}1}$$$.

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: $$$3526 = 2 \cdot 41 \cdot 43$$$.

Answer

The prime factorization is $$$3526 = 2 \cdot 41 \cdot 43$$$A.