Prime Factorization of 728
What is the Prime Factorization of 728?
or
Explanation of number 728 Prime Factorization
Prime Factorization of 728 it is expressing 728 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 728.
Since number 728 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 728, we have to iteratively divide 728 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 728:
The smallest Prime Number which can divide 728 without a remainder is 2. So the first calculation step would look like:
728 ÷ 2 = 364
Now we repeat this action until the result equals 1:
364 ÷ 2 = 182
182 ÷ 2 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 728. It is: 2, 2, 2, 7, 13
Or you may also write it in exponential form: 23 × 7 × 13
Prime Factor Tree of 728
We may also express the prime factorization of 728 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/728">Prime factors of 728 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 740 | 22 × 5 × 37 |
| 741 | 3, 13, 19 |
| 742 | 2, 7, 53 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself