Prime Factorization of 539

What is the Prime Factorization of 539?

Answer: Prime Factors of 539: 7, 7, 11

or

72 × 11

Explanation of number 539 Prime Factorization

Prime Factorization of 539 it is expressing 539 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 539.

Since number 539 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 539, we have to iteratively divide 539 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 539:

The smallest Prime Number which can divide 539 without a remainder is 7. So the first calculation step would look like:

539 ÷ 7 = 77

Now we repeat this action until the result equals 1:

77 ÷ 7 = 11

11 ÷ 11 = 1

Now we have all the Prime Factors for number 539. It is: 7, 7, 11

Or you may also write it in exponential form: 72 × 11

Prime Factor Tree of 539

We may also express the prime factorization of 539 as a Factor Tree:

Prime factors of 539 factorization tree of 539

Prime Factorization Table

NumberPrime Factors
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
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
2, 271
3, 181
25 × 17
5, 109
2, 3, 7, 13
547
22 × 137
54932 × 61
2 × 52 × 11
55119, 29
23 × 3 × 23
7, 79

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 539? (The answer is: 7, 7, 11). Pick the number for factorization (e.g. '539'). 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 539?

Prime Factors of 539: 7, 7, 11

How many prime factors does 539 have?

Number 539 has 3 Prime Factors

What is the Prime Factorization of 539 in exponential form?

The Prime Factorization of the number 539 in the exponential form is: 72 × 11