Prime Factorization of 725
What is the Prime Factorization of 725?
or
Explanation of number 725 Prime Factorization
Prime Factorization of 725 it is expressing 725 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 725.
Since number 725 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 725, we have to iteratively divide 725 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 725:
The smallest Prime Number which can divide 725 without a remainder is 5. So the first calculation step would look like:
725 ÷ 5 = 145
Now we repeat this action until the result equals 1:
145 ÷ 5 = 29
29 ÷ 29 = 1
Now we have all the Prime Factors for number 725. It is: 5, 5, 29
Or you may also write it in exponential form: 52 × 29
Prime Factor Tree of 725
We may also express the prime factorization of 725 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/725">Prime factors of 725 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 710 | 2, 5, 71 |
| 711 | 32 × 79 |
| 712 | 23 × 89 |
| 713 | 23, 31 |
| 714 | 2, 3, 7, 17 |
| 715 | 5, 11, 13 |
| 716 | 22 × 179 |
| 717 | 3, 239 |
| 718 | 2, 359 |
| 719 | 719 |
| 720 | 24 × 32 × 5 |
| 721 | 7, 103 |
| 722 | 2 × 192 |
| 723 | 3, 241 |
| 724 | 22 × 181 |
| 725 | 52 × 29 |
| 726 | 2 × 3 × 112 |
| 727 | 727 |
| 728 | 23 × 7 × 13 |
| 729 | 36 |
| 730 | 2, 5, 73 |
| 731 | 17, 43 |
| 732 | 22 × 3 × 61 |
| 733 | 733 |
| 734 | 2, 367 |
| 735 | 3 × 5 × 72 |
| 736 | 25 × 23 |
| 737 | 11, 67 |
| 738 | 2 × 32 × 41 |
| 739 | 739 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself