Prime Factorization of 504
What is the Prime Factorization of 504?
or
Explanation of number 504 Prime Factorization
Prime Factorization of 504 it is expressing 504 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 504.
Since number 504 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 504, we have to iteratively divide 504 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 504:
The smallest Prime Number which can divide 504 without a remainder is 2. So the first calculation step would look like:
504 ÷ 2 = 252
Now we repeat this action until the result equals 1:
252 ÷ 2 = 126
126 ÷ 2 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 504. It is: 2, 2, 2, 3, 3, 7
Or you may also write it in exponential form: 23 × 32 × 7
Prime Factor Tree of 504
We may also express the prime factorization of 504 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/504">Prime factors of 504 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 489 | 3, 163 |
| 490 | 2 × 5 × 72 |
| 491 | 491 |
| 492 | 22 × 3 × 41 |
| 493 | 17, 29 |
| 494 | 2, 13, 19 |
| 495 | 32 × 5 × 11 |
| 496 | 24 × 31 |
| 497 | 7, 71 |
| 498 | 2, 3, 83 |
| 499 | 499 |
| 500 | 22 × 53 |
| 501 | 3, 167 |
| 502 | 2, 251 |
| 503 | 503 |
| 504 | 23 × 32 × 7 |
| 505 | 5, 101 |
| 506 | 2, 11, 23 |
| 507 | 3 × 132 |
| 508 | 22 × 127 |
| 509 | 509 |
| 510 | 2, 3, 5, 17 |
| 511 | 7, 73 |
| 512 | 29 |
| 513 | 33 × 19 |
| 514 | 2, 257 |
| 515 | 5, 103 |
| 516 | 22 × 3 × 43 |
| 517 | 11, 47 |
| 518 | 2, 7, 37 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself