Prime Factorization of 559

What is the Prime Factorization of 559?

Answer: Prime Factors of 559: 13, 43

Explanation of number 559 Prime Factorization

Prime Factorization of 559 it is expressing 559 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 559.

Since number 559 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 559, we have to iteratively divide 559 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 559:

The smallest Prime Number which can divide 559 without a remainder is 13. So the first calculation step would look like:

559 ÷ 13 = 43

Now we repeat this action until the result equals 1:

43 ÷ 43 = 1

Now we have all the Prime Factors for number 559. It is: 13, 43

Prime Factor Tree of 559

We may also express the prime factorization of 559 as a Factor Tree:

Related Calculations

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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 559? (The answer is: 13, 43). Pick the number for factorization (e.g. '559'). 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
25 × 17
5, 109
2, 3, 7, 13
547
22 × 137
54932 × 61
2 × 52 × 11
55119, 29
23 × 3 × 23
7, 79
2, 277
3, 5, 37
22 × 139
557
2 × 32 × 31
13, 43
24 × 5 × 7
3, 11, 17
2, 281
563
22 × 3 × 47
5, 113
5662, 283
34 × 7
23 × 71
569
2, 3, 5, 19
571
22 × 11 × 13
3, 191

FAQ

What is the Prime Factorization of 559?

Prime Factors of 559: 13, 43

How many prime factors does 559 have?

Number 559 has 2 Prime Factors