Prime Factorization of 255
What is the Prime Factorization of 255?
Explanation of number 255 Prime Factorization
Prime Factorization of 255 it is expressing 255 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 255.
Since number 255 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 255, we have to iteratively divide 255 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 255:
The smallest Prime Number which can divide 255 without a remainder is 3. So the first calculation step would look like:
255 ÷ 3 = 85
Now we repeat this action until the result equals 1:
85 ÷ 5 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 255. It is: 3, 5, 17
Prime Factor Tree of 255
We may also express the prime factorization of 255 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
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Prime Factorization Table
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself