Prime Factorization of 231

What is the Prime Factorization of 231?

Answer: Prime Factors of 231: 3, 7, 11

Explanation of number 231 Prime Factorization

Prime Factorization of 231 it is expressing 231 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 231.

Since number 231 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 231, we have to iteratively divide 231 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 231:

The smallest Prime Number which can divide 231 without a remainder is 3. So the first calculation step would look like:

231 ÷ 3 = 77

Now we repeat this action until the result equals 1:

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 231. It is: 3, 7, 11

Prime Factor Tree of 231

We may also express the prime factorization of 231 as a Factor Tree:

Prime factors of 231 factorization tree of 231

See Also

Prime Factorization Table

NumberPrime Factors
23 × 33
7, 31
2, 109
3, 73
22 × 5 × 11
13, 17
2, 3, 37
223
25 × 7
32 × 52
2, 113
227
22 × 3 × 19
229
2, 5, 23
3, 7, 11
23 × 29
233
2 × 32 × 13
5, 47
22 × 59
3, 79
2, 7, 17
239
24 × 3 × 5
241
2 × 112
35
22 × 61
5 × 72

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 231? (The answer is: 3, 7, 11). Pick the number for factorization (e.g. '231'). 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 231?

Prime Factors of 231: 3, 7, 11

How many prime factors does 231 have?

Number 231 has 3 Prime Factors