Prime Factorization of 500
What is the Prime Factorization of 500?
or
Explanation of number 500 Prime Factorization
Prime Factorization of 500 it is expressing 500 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 500.
Since number 500 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 500, we have to iteratively divide 500 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 500:
The smallest Prime Number which can divide 500 without a remainder is 2. So the first calculation step would look like:
500 ÷ 2 = 250
Now we repeat this action until the result equals 1:
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 500. It is: 2, 2, 5, 5, 5
Or you may also write it in exponential form: 22 × 53
Prime Factor Tree of 500
We may also express the prime factorization of 500 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/500">Prime factors of 500 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 485 | 5, 97 |
| 486 | 2 × 35 |
| 487 | 487 |
| 488 | 23 × 61 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself