Prime Factorization of 693
What is the Prime Factorization of 693?
or
Explanation of number 693 Prime Factorization
Prime Factorization of 693 it is expressing 693 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 693.
Since number 693 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 693, we have to iteratively divide 693 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 693:
The smallest Prime Number which can divide 693 without a remainder is 3. So the first calculation step would look like:
693 ÷ 3 = 231
Now we repeat this action until the result equals 1:
231 ÷ 3 = 77
77 ÷ 7 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 693. It is: 3, 3, 7, 11
Or you may also write it in exponential form: 32 × 7 × 11
Prime Factor Tree of 693
We may also express the prime factorization of 693 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/693">Prime factors of 693 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 678 | 2, 3, 113 |
| 679 | 7, 97 |
| 680 | 23 × 5 × 17 |
| 681 | 3, 227 |
| 682 | 2, 11, 31 |
| 683 | 683 |
| 684 | 22 × 32 × 19 |
| 685 | 5, 137 |
| 686 | 2 × 73 |
| 687 | 3, 229 |
| 688 | 24 × 43 |
| 689 | 13, 53 |
| 690 | 2, 3, 5, 23 |
| 691 | 691 |
| 692 | 22 × 173 |
| 693 | 32 × 7 × 11 |
| 694 | 2, 347 |
| 695 | 5, 139 |
| 696 | 23 × 3 × 29 |
| 697 | 17, 41 |
| 698 | 2, 349 |
| 699 | 3, 233 |
| 700 | 22 × 52 × 7 |
| 701 | 701 |
| 702 | 2 × 33 × 13 |
| 703 | 19, 37 |
| 704 | 26 × 11 |
| 705 | 3, 5, 47 |
| 706 | 2, 353 |
| 707 | 7, 101 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself