Prime Factorization of 477
What is the Prime Factorization of 477?
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Explanation of number 477 Prime Factorization
Prime Factorization of 477 it is expressing 477 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 477.
Since number 477 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 477, we have to iteratively divide 477 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 477:
The smallest Prime Number which can divide 477 without a remainder is 3. So the first calculation step would look like:
477 ÷ 3 = 159
Now we repeat this action until the result equals 1:
159 ÷ 3 = 53
53 ÷ 53 = 1
Now we have all the Prime Factors for number 477. It is: 3, 3, 53
Or you may also write it in exponential form: 32 × 53
Prime Factor Tree of 477
We may also express the prime factorization of 477 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/477">Prime factors of 477 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 488 | 23 × 61 |
| 489 | 3, 163 |
| 490 | 2 × 5 × 72 |
| 491 | 491 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself