Prime Factorization of 295

What is the Prime Factorization of 295?

Answer: Prime Factors of 295: 5, 59

Explanation of number 295 Prime Factorization

Prime Factorization of 295 it is expressing 295 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 295.

Since number 295 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 295, we have to iteratively divide 295 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 295:

The smallest Prime Number which can divide 295 without a remainder is 5. So the first calculation step would look like:

295 ÷ 5 = 59

Now we repeat this action until the result equals 1:

59 ÷ 59 = 1

Now we have all the Prime Factors for number 295. It is: 5, 59

Prime Factor Tree of 295

We may also express the prime factorization of 295 as a Factor Tree:

Prime factors of 295 factorization tree of 295

Prime Factorization Table

NumberPrime Factors
23 × 5 × 7
281
2, 3, 47
283
22 × 71
3, 5, 19
2, 11, 13
7, 41
25 × 32
172
2, 5, 29
3, 97
22 × 73
293
2 × 3 × 72
5, 59
23 × 37
33 × 11
2, 149
13, 23
22 × 3 × 52
7, 43
2, 151
3, 101
24 × 19
5, 61
2 × 32 × 17
307
22 × 7 × 11
3, 103

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 295? (The answer is: 5, 59). Pick the number for factorization (e.g. '295'). 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 295?

Prime Factors of 295: 5, 59

How many prime factors does 295 have?

Number 295 has 2 Prime Factors