Prime Factorization of 267

What is the Prime Factorization of 267?

Answer: Prime Factors of 267: 3, 89

Explanation of number 267 Prime Factorization

Prime Factorization of 267 it is expressing 267 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 267.

Since number 267 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 267, we have to iteratively divide 267 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 267:

The smallest Prime Number which can divide 267 without a remainder is 3. So the first calculation step would look like:

267 ÷ 3 = 89

Now we repeat this action until the result equals 1:

89 ÷ 89 = 1

Now we have all the Prime Factors for number 267. It is: 3, 89

Prime Factor Tree of 267

We may also express the prime factorization of 267 as a Factor Tree:

Prime factors of 267 factorization tree of 267

Prime Factorization Table

NumberPrime Factors
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
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137
52 × 11
22 × 3 × 23
277
2, 139
32 × 31
23 × 5 × 7
281

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 267? (The answer is: 3, 89). Pick the number for factorization (e.g. '267'). 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 267?

Prime Factors of 267: 3, 89

How many prime factors does 267 have?

Number 267 has 2 Prime Factors