Prime Factorization of 723
What is the Prime Factorization of 723?
Explanation of number 723 Prime Factorization
Prime Factorization of 723 it is expressing 723 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 723.
Since number 723 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 723, we have to iteratively divide 723 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 723:
The smallest Prime Number which can divide 723 without a remainder is 3. So the first calculation step would look like:
723 ÷ 3 = 241
Now we repeat this action until the result equals 1:
241 ÷ 241 = 1
Now we have all the Prime Factors for number 723. It is: 3, 241
Prime Factor Tree of 723
We may also express the prime factorization of 723 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/723">Prime factors of 723 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 708 | 22 × 3 × 59 |
| 709 | 709 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself