Prime Factorization of 230

What is the Prime Factorization of 230?

Answer: Prime Factors of 230: 2, 5, 23

Explanation of number 230 Prime Factorization

Prime Factorization of 230 it is expressing 230 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 230.

Since number 230 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 230, we have to iteratively divide 230 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 230:

The smallest Prime Number which can divide 230 without a remainder is 2. So the first calculation step would look like:

230 ÷ 2 = 115

Now we repeat this action until the result equals 1:

115 ÷ 5 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 230. It is: 2, 5, 23

Prime Factor Tree of 230

We may also express the prime factorization of 230 as a Factor Tree:

Prime factors of 230 factorization tree of 230

Prime Factorization Table

NumberPrime Factors
5, 43
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

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 230? (The answer is: 2, 5, 23). Pick the number for factorization (e.g. '230'). 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 230?

Prime Factors of 230: 2, 5, 23

How many prime factors does 230 have?

Number 230 has 3 Prime Factors