Prime Factorization of 690
What is the Prime Factorization of 690?
Explanation of number 690 Prime Factorization
Prime Factorization of 690 it is expressing 690 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 690.
Since number 690 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 690, we have to iteratively divide 690 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 690:
The smallest Prime Number which can divide 690 without a remainder is 2. So the first calculation step would look like:
690 ÷ 2 = 345
Now we repeat this action until the result equals 1:
345 ÷ 3 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
Now we have all the Prime Factors for number 690. It is: 2, 3, 5, 23
Prime Factor Tree of 690
We may also express the prime factorization of 690 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/690">Prime factors of 690 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 675 | 33 × 52 |
| 676 | 22 × 132 |
| 677 | 677 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself