Prime Factorization of 235

What is the Prime Factorization of 235?

Answer: Prime Factors of 235: 5, 47

Explanation of number 235 Prime Factorization

Prime Factorization of 235 it is expressing 235 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 235.

Since number 235 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 235, we have to iteratively divide 235 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 235:

The smallest Prime Number which can divide 235 without a remainder is 5. So the first calculation step would look like:

235 ÷ 5 = 47

Now we repeat this action until the result equals 1:

47 ÷ 47 = 1

Now we have all the Prime Factors for number 235. It is: 5, 47

Prime Factor Tree of 235

We may also express the prime factorization of 235 as a Factor Tree:

See Also

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 235? (The answer is: 5, 47). Pick the number for factorization (e.g. '235'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

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

FAQ

What is the Prime Factorization of 235?

Prime Factors of 235: 5, 47

How many prime factors does 235 have?

Number 235 has 2 Prime Factors