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# Prime Factor Decomposition Calculator

## Get detailed solutions to your math problems with our Prime Factor Decomposition step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Here, we show you a step-by-step solved example of prime factor decomposition. This solution was automatically generated by our smart calculator:

$28$
2

To find the prime factors of $28$, the first step is to divide it with it's smallest prime factor. The smallest prime factor of $28$ is the smallest prime which can divide it without leaving any remainder. Trying with the first few primes (2, 3, 5...), we find out that the smallest prime of $28$ is $2$. $28\div2=14$. Then we need to repeatedly divide the quotient by $2$ until we get a number that is no more divisible by $2$. Next, we look for the next smallest prime number which can divide it, until we reach $1$.

$14$
3

Dividing $14$ by the prime factor $2$ (again) gives us

$7$
4

Dividing $7$ by the prime factor $7$ gives us $1$. We do not need to proceed further as we have obtained $1$ as our result

$1$
5

Then, the prime factors of $28$ are

$2\cdot 2\cdot 7$

##  Final answer to the problem

$2\cdot 2\cdot 7$

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