Prime Factorization of 531

What is the Prime Factorization of 531?

Answer: Prime Factors of 531: 3, 3, 59

or

32 × 59

Explanation of number 531 Prime Factorization

Prime Factorization of 531 it is expressing 531 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 531.

Since number 531 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 531, we have to iteratively divide 531 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 531:

The smallest Prime Number which can divide 531 without a remainder is 3. So the first calculation step would look like:

531 ÷ 3 = 177

Now we repeat this action until the result equals 1:

177 ÷ 3 = 59

59 ÷ 59 = 1

Now we have all the Prime Factors for number 531. It is: 3, 3, 59

Or you may also write it in exponential form: 32 × 59

Prime Factor Tree of 531

We may also express the prime factorization of 531 as a Factor Tree:

Prime factors of 531 factorization tree of 531

Prime Factorization Table

NumberPrime Factors
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
25 × 17
5, 109

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 531? (The answer is: 3, 3, 59). Pick the number for factorization (e.g. '531'). 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 531?

Prime Factors of 531: 3, 3, 59

How many prime factors does 531 have?

Number 531 has 3 Prime Factors

What is the Prime Factorization of 531 in exponential form?

The Prime Factorization of the number 531 in the exponential form is: 32 × 59