Prime Factorization of 529

What is the Prime Factorization of 529?

Answer: Prime Factors of 529: 23, 23

or

232

Explanation of number 529 Prime Factorization

Prime Factorization of 529 it is expressing 529 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 529.

Since number 529 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 529, we have to iteratively divide 529 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 529:

The smallest Prime Number which can divide 529 without a remainder is 23. So the first calculation step would look like:

529 ÷ 23 = 23

Now we repeat this action until the result equals 1:

23 ÷ 23 = 1

Now we have all the Prime Factors for number 529. It is: 23, 23

Or you may also write it in exponential form: 232

Prime Factor Tree of 529

We may also express the prime factorization of 529 as a Factor Tree:

Prime factors of 529 factorization tree of 529

Prime Factorization Table

NumberPrime Factors
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
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
2, 271
3, 181

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 529? (The answer is: 23, 23). Pick the number for factorization (e.g. '529'). 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 529?

Prime Factors of 529: 23, 23

How many prime factors does 529 have?

Number 529 has 2 Prime Factors

What is the Prime Factorization of 529 in exponential form?

The Prime Factorization of the number 529 in the exponential form is: 232