Prime Factorization of 255

What is the Prime Factorization of 255?

Answer: Prime Factors of 255: 3, 5, 17

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:

Prime factors of 255 factorization tree of 255

Prime Factorization Table

NumberPrime Factors
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251
22 × 32 × 7
11, 23
2, 127
3, 5, 17
28
257
2, 3, 43
7, 37
22 × 5 × 13
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89
22 × 67
269

About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 255? (The answer is: 3, 5, 17). Pick the number for factorization (e.g. '255'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 255?

Prime Factors of 255: 3, 5, 17

How many prime factors does 255 have?

Number 255 has 3 Prime Factors