Prime Factorization of 425
What is the Prime Factorization of 425?
or
Explanation of number 425 Prime Factorization
Prime Factorization of 425 it is expressing 425 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 425.
Since number 425 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 425, we have to iteratively divide 425 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 425:
The smallest Prime Number which can divide 425 without a remainder is 5. So the first calculation step would look like:
425 ÷ 5 = 85
Now we repeat this action until the result equals 1:
85 ÷ 5 = 17
17 ÷ 17 = 1
Now we have all the Prime Factors for number 425. It is: 5, 5, 17
Or you may also write it in exponential form: 52 × 17
Prime Factor Tree of 425
We may also express the prime factorization of 425 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/425">Prime factors of 425 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 410 | 2, 5, 41 |
| 411 | 3, 137 |
| 412 | 22 × 103 |
| 413 | 7, 59 |
| 414 | 2 × 32 × 23 |
| 415 | 5, 83 |
| 416 | 25 × 13 |
| 417 | 3, 139 |
| 418 | 2, 11, 19 |
| 419 | 419 |
| 420 | 22 × 3 × 5 × 7 |
| 421 | 421 |
| 422 | 2, 211 |
| 423 | 32 × 47 |
| 424 | 23 × 53 |
| 425 | 52 × 17 |
| 426 | 2, 3, 71 |
| 427 | 7, 61 |
| 428 | 22 × 107 |
| 429 | 3, 11, 13 |
| 430 | 2, 5, 43 |
| 431 | 431 |
| 432 | 24 × 33 |
| 433 | 433 |
| 434 | 2, 7, 31 |
| 435 | 3, 5, 29 |
| 436 | 22 × 109 |
| 437 | 19, 23 |
| 438 | 2, 3, 73 |
| 439 | 439 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself