Prime Factorization of 720
What is the Prime Factorization of 720?
or
Explanation of number 720 Prime Factorization
Prime Factorization of 720 it is expressing 720 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 720.
Since number 720 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 720, we have to iteratively divide 720 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 720:
The smallest Prime Number which can divide 720 without a remainder is 2. So the first calculation step would look like:
720 ÷ 2 = 360
Now we repeat this action until the result equals 1:
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 720. It is: 2, 2, 2, 2, 3, 3, 5
Or you may also write it in exponential form: 24 × 32 × 5
Prime Factor Tree of 720
We may also express the prime factorization of 720 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/720">Prime factors of 720 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself