Prime Factorization of 9720
What is the Prime Factorization of 9720?
or
Explanation of number 9720 Prime Factorization
Prime Factorization of 9720 it is expressing 9720 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9720.
Since number 9720 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 9720, we have to iteratively divide 9720 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 9720:
The smallest Prime Number which can divide 9720 without a remainder is 2. So the first calculation step would look like:
9720 ÷ 2 = 4860
Now we repeat this action until the result equals 1:
4860 ÷ 2 = 2430
2430 ÷ 2 = 1215
1215 ÷ 3 = 405
405 ÷ 3 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now we have all the Prime Factors for number 9720. It is: 2, 2, 2, 3, 3, 3, 3, 3, 5
Or you may also write it in exponential form: 23 × 35 × 5
<a href="https://calculat.io/en/number/prime-factors-of/9720">Prime factors of 9720 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 9705 | 3, 5, 647 |
| 9706 | 2, 23, 211 |
| 9707 | 17, 571 |
| 9708 | 22 × 3 × 809 |
| 9709 | 7, 19, 73 |
| 9710 | 2, 5, 971 |
| 9711 | 32 × 13 × 83 |
| 9712 | 24 × 607 |
| 9713 | 11, 883 |
| 9714 | 2, 3, 1619 |
| 9715 | 5, 29, 67 |
| 9716 | 22 × 7 × 347 |
| 9717 | 3, 41, 79 |
| 9718 | 2, 43, 113 |
| 9719 | 9719 |
| 9720 | 23 × 35 × 5 |
| 9721 | 9721 |
| 9722 | 2, 4861 |
| 9723 | 3, 7, 463 |
| 9724 | 22 × 11 × 13 × 17 |
| 9725 | 52 × 389 |
| 9726 | 2, 3, 1621 |
| 9727 | 71, 137 |
| 9728 | 29 × 19 |
| 9729 | 32 × 23 × 47 |
| 9730 | 2, 5, 7, 139 |
| 9731 | 37, 263 |
| 9732 | 22 × 3 × 811 |
| 9733 | 9733 |
| 9734 | 2, 31, 157 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself