Prime Factorization of 237

What is the Prime Factorization of 237?

Answer: Prime Factors of 237: 3, 79

Explanation of number 237 Prime Factorization

Prime Factorization of 237 it is expressing 237 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 237.

Since number 237 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 237, we have to iteratively divide 237 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 237:

The smallest Prime Number which can divide 237 without a remainder is 3. So the first calculation step would look like:

237 ÷ 3 = 79

Now we repeat this action until the result equals 1:

79 ÷ 79 = 1

Now we have all the Prime Factors for number 237. It is: 3, 79

Prime Factor Tree of 237

We may also express the prime factorization of 237 as a Factor Tree:

Prime factors of 237 factorization tree of 237

Prime Factorization Table

NumberPrime Factors
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
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251

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 237? (The answer is: 3, 79). Pick the number for factorization (e.g. '237'). 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 237?

Prime Factors of 237: 3, 79

How many prime factors does 237 have?

Number 237 has 2 Prime Factors