Prime Factorization of 513
What is the Prime Factorization of 513?
or
Explanation of number 513 Prime Factorization
Prime Factorization of 513 it is expressing 513 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 513.
Since number 513 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 513, we have to iteratively divide 513 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 513:
The smallest Prime Number which can divide 513 without a remainder is 3. So the first calculation step would look like:
513 ÷ 3 = 171
Now we repeat this action until the result equals 1:
171 ÷ 3 = 57
57 ÷ 3 = 19
19 ÷ 19 = 1
Now we have all the Prime Factors for number 513. It is: 3, 3, 3, 19
Or you may also write it in exponential form: 33 × 19
Prime Factor Tree of 513
We may also express the prime factorization of 513 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/513">Prime factors of 513 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 519 | 3, 173 |
| 520 | 23 × 5 × 13 |
| 521 | 521 |
| 522 | 2 × 32 × 29 |
| 523 | 523 |
| 524 | 22 × 131 |
| 525 | 3 × 52 × 7 |
| 526 | 2, 263 |
| 527 | 17, 31 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself