Prime Factorization of 704
What is the Prime Factorization of 704?
or
Explanation of number 704 Prime Factorization
Prime Factorization of 704 it is expressing 704 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 704.
Since number 704 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 704, we have to iteratively divide 704 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 704:
The smallest Prime Number which can divide 704 without a remainder is 2. So the first calculation step would look like:
704 ÷ 2 = 352
Now we repeat this action until the result equals 1:
352 ÷ 2 = 176
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
Now we have all the Prime Factors for number 704. It is: 2, 2, 2, 2, 2, 2, 11
Or you may also write it in exponential form: 26 × 11
Prime Factor Tree of 704
We may also express the prime factorization of 704 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/704">Prime factors of 704 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself