Prime Factorization of 520

What is the Prime Factorization of 520?

Answer: Prime Factors of 520: 2, 2, 2, 5, 13

or

23 × 5 × 13

Explanation of number 520 Prime Factorization

Prime Factorization of 520 it is expressing 520 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 520.

Since number 520 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 520, we have to iteratively divide 520 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 520:

The smallest Prime Number which can divide 520 without a remainder is 2. So the first calculation step would look like:

520 ÷ 2 = 260

Now we repeat this action until the result equals 1:

260 ÷ 2 = 130

130 ÷ 2 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 520. It is: 2, 2, 2, 5, 13

Or you may also write it in exponential form: 23 × 5 × 13

Prime Factor Tree of 520

We may also express the prime factorization of 520 as a Factor Tree:

Prime factors of 520 factorization tree of 520

Prime Factorization Table

NumberPrime Factors
5, 101
2, 11, 23
3 × 132
22 × 127
509
2, 3, 5, 17
7, 73
29
33 × 19
2, 257
5, 103
22 × 3 × 43
51711, 47
5182, 7, 37
3, 173
23 × 5 × 13
521
2 × 32 × 29
523
22 × 131
3 × 52 × 7
2, 263
17, 31
24 × 3 × 11
232
2, 5, 53
32 × 59
22 × 7 × 19
53313, 41
5342, 3, 89

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 520? (The answer is: 2, 2, 2, 5, 13). Pick the number for factorization (e.g. '520'). 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 520?

Prime Factors of 520: 2, 2, 2, 5, 13

How many prime factors does 520 have?

Number 520 has 5 Prime Factors

What is the Prime Factorization of 520 in exponential form?

The Prime Factorization of the number 520 in the exponential form is: 23 × 5 × 13