Prime Factorization of 472
What is the Prime Factorization of 472?
or
Explanation of number 472 Prime Factorization
Prime Factorization of 472 it is expressing 472 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 472.
Since number 472 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 472, we have to iteratively divide 472 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 472:
The smallest Prime Number which can divide 472 without a remainder is 2. So the first calculation step would look like:
472 ÷ 2 = 236
Now we repeat this action until the result equals 1:
236 ÷ 2 = 118
118 ÷ 2 = 59
59 ÷ 59 = 1
Now we have all the Prime Factors for number 472. It is: 2, 2, 2, 59
Or you may also write it in exponential form: 23 × 59
Prime Factor Tree of 472
We may also express the prime factorization of 472 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/472">Prime factors of 472 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 457 | 457 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself