Prime Factorization of 236

What is the Prime Factorization of 236?

Answer: Prime Factors of 236: 2, 2, 59

or

22 × 59

Explanation of number 236 Prime Factorization

Prime Factorization of 236 it is expressing 236 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 236.

Since number 236 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 236, we have to iteratively divide 236 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 236:

The smallest Prime Number which can divide 236 without a remainder is 2. So the first calculation step would look like:

236 ÷ 2 = 118

Now we repeat this action until the result equals 1:

118 ÷ 2 = 59

59 ÷ 59 = 1

Now we have all the Prime Factors for number 236. It is: 2, 2, 59

Or you may also write it in exponential form: 22 × 59

Prime Factor Tree of 236

We may also express the prime factorization of 236 as a Factor Tree:

Prime factors of 236 factorization tree of 236

Prime Factorization Table

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

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 236? (The answer is: 2, 2, 59). Pick the number for factorization (e.g. '236'). 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 236?

Prime Factors of 236: 2, 2, 59

How many prime factors does 236 have?

Number 236 has 3 Prime Factors

What is the Prime Factorization of 236 in exponential form?

The Prime Factorization of the number 236 in the exponential form is: 22 × 59