Prime Factorization of 473
What is the Prime Factorization of 473?
Explanation of number 473 Prime Factorization
Prime Factorization of 473 it is expressing 473 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 473.
Since number 473 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 473, we have to iteratively divide 473 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 473:
The smallest Prime Number which can divide 473 without a remainder is 11. So the first calculation step would look like:
473 ÷ 11 = 43
Now we repeat this action until the result equals 1:
43 ÷ 43 = 1
Now we have all the Prime Factors for number 473. It is: 11, 43
Prime Factor Tree of 473
We may also express the prime factorization of 473 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/473">Prime factors of 473 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 458 | 2, 229 |
| 459 | 33 × 17 |
| 460 | 22 × 5 × 23 |
| 461 | 461 |
| 462 | 2, 3, 7, 11 |
| 463 | 463 |
| 464 | 24 × 29 |
| 465 | 3, 5, 31 |
| 466 | 2, 233 |
| 467 | 467 |
| 468 | 22 × 32 × 13 |
| 469 | 7, 67 |
| 470 | 2, 5, 47 |
| 471 | 3, 157 |
| 472 | 23 × 59 |
| 473 | 11, 43 |
| 474 | 2, 3, 79 |
| 475 | 52 × 19 |
| 476 | 22 × 7 × 17 |
| 477 | 32 × 53 |
| 478 | 2, 239 |
| 479 | 479 |
| 480 | 25 × 3 × 5 |
| 481 | 13, 37 |
| 482 | 2, 241 |
| 483 | 3, 7, 23 |
| 484 | 22 × 112 |
| 485 | 5, 97 |
| 486 | 2 × 35 |
| 487 | 487 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself