Prime Factorization of 490
What is the Prime Factorization of 490?
or
Explanation of number 490 Prime Factorization
Prime Factorization of 490 it is expressing 490 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 490.
Since number 490 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 490, we have to iteratively divide 490 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 490:
The smallest Prime Number which can divide 490 without a remainder is 2. So the first calculation step would look like:
490 ÷ 2 = 245
Now we repeat this action until the result equals 1:
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Now we have all the Prime Factors for number 490. It is: 2, 5, 7, 7
Or you may also write it in exponential form: 2 × 5 × 72
Prime Factor Tree of 490
We may also express the prime factorization of 490 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/490">Prime factors of 490 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself