Prime Factorization of 8
What is the Prime Factorization of 8?
or
Explanation of number 8 Prime Factorization
Prime Factorization of 8 it is expressing 8 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 8.
Since number 8 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 8, we have to iteratively divide 8 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 8:
The smallest Prime Number which can divide 8 without a remainder is 2. So the first calculation step would look like:
8 ÷ 2 = 4
Now we repeat this action until the result equals 1:
4 ÷ 2 = 2
2 ÷ 2 = 1
Now we have all the Prime Factors for number 8. It is: 2, 2, 2
Or you may also write it in exponential form: 23
Prime Factor Tree of 8
We may also express the prime factorization of 8 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/8">Prime factors of 8 - Calculatio</a>
Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself