Prime Factorization of 260

What is the Prime Factorization of 260?

Answer: Prime Factors of 260: 2, 2, 5, 13

or

22 × 5 × 13

Explanation of number 260 Prime Factorization

Prime Factorization of 260 it is expressing 260 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 260.

Since number 260 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 260, we have to iteratively divide 260 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 260:

The smallest Prime Number which can divide 260 without a remainder is 2. So the first calculation step would look like:

260 ÷ 2 = 130

Now we repeat this action until the result equals 1:

130 ÷ 2 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 260. It is: 2, 2, 5, 13

Or you may also write it in exponential form: 22 × 5 × 13

Prime Factor Tree of 260

We may also express the prime factorization of 260 as a Factor Tree:

Prime factors of 260 factorization tree of 260

Prime Factorization Table

NumberPrime Factors
5 × 72
2, 3, 41
13, 19
23 × 31
3, 83
2 × 53
251
22 × 32 × 7
11, 23
2, 127
3, 5, 17
28
257
2, 3, 43
7, 37
22 × 5 × 13
32 × 29
2, 131
263
23 × 3 × 11
5, 53
2, 7, 19
3, 89
22 × 67
269
2 × 33 × 5
271
24 × 17
3, 7, 13
2, 137

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 260? (The answer is: 2, 2, 5, 13). Pick the number for factorization (e.g. '260'). 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 260?

Prime Factors of 260: 2, 2, 5, 13

How many prime factors does 260 have?

Number 260 has 4 Prime Factors

What is the Prime Factorization of 260 in exponential form?

The Prime Factorization of the number 260 in the exponential form is: 22 × 5 × 13