Prime Factorization of 26

What is the Prime Factorization of 26?

Answer: Prime Factors of 26: 2, 13

Explanation of number 26 Prime Factorization

Prime Factorization of 26 it is expressing 26 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 26.

Since number 26 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 26, we have to iteratively divide 26 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 26:

The smallest Prime Number which can divide 26 without a remainder is 2. So the first calculation step would look like:

26 ÷ 2 = 13

Now we repeat this action until the result equals 1:

13 ÷ 13 = 1

Now we have all the Prime Factors for number 26. It is: 2, 13

Prime Factor Tree of 26

We may also express the prime factorization of 26 as a Factor Tree:

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 26? (The answer is: 2, 13). Pick the number for factorization (e.g. '26'). 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
11
22 × 3
13
2, 7
3, 5
24
17
2 × 32
19
22 × 5
3, 7
2, 11
23
23 × 3
52
2, 13
33
22 × 7
29
2, 3, 5
31
25
3, 11
2, 17
5, 7
22 × 32
37
2, 19
3, 13
23 × 5

FAQ

What is the Prime Factorization of 26?

Prime Factors of 26: 2, 13

How many prime factors does 26 have?

Number 26 has 2 Prime Factors