Prime Factorization of 507

What is the Prime Factorization of 507?

Answer: Prime Factors of 507: 3, 13, 13

or

3 × 132

Explanation of number 507 Prime Factorization

Prime Factorization of 507 it is expressing 507 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 507.

Since number 507 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 507, we have to iteratively divide 507 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 507:

The smallest Prime Number which can divide 507 without a remainder is 3. So the first calculation step would look like:

507 ÷ 3 = 169

Now we repeat this action until the result equals 1:

169 ÷ 13 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 507. It is: 3, 13, 13

Or you may also write it in exponential form: 3 × 132

Prime Factor Tree of 507

We may also express the prime factorization of 507 as a Factor Tree:

Prime factors of 507 factorization tree of 507

Prime Factorization Table

NumberPrime Factors
22 × 3 × 41
17, 29
2, 13, 19
32 × 5 × 11
24 × 31
7, 71
4982, 3, 83
499
22 × 53
3, 167
5022, 251
503
23 × 32 × 7
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
2, 7, 37
3, 173
23 × 5 × 13
521

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 507? (The answer is: 3, 13, 13). Pick the number for factorization (e.g. '507'). 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 507?

Prime Factors of 507: 3, 13, 13

How many prime factors does 507 have?

Number 507 has 3 Prime Factors

What is the Prime Factorization of 507 in exponential form?

The Prime Factorization of the number 507 in the exponential form is: 3 × 132