Prime Factorization of 828
What is the Prime Factorization of 828?
or
Explanation of number 828 Prime Factorization
Prime Factorization of 828 it is expressing 828 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 828.
Since number 828 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 828, we have to iteratively divide 828 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 828:
The smallest Prime Number which can divide 828 without a remainder is 2. So the first calculation step would look like:
828 ÷ 2 = 414
Now we repeat this action until the result equals 1:
414 ÷ 2 = 207
207 ÷ 3 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
Now we have all the Prime Factors for number 828. It is: 2, 2, 3, 3, 23
Or you may also write it in exponential form: 22 × 32 × 23
Prime Factor Tree of 828
We may also express the prime factorization of 828 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/828">Prime factors of 828 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 813 | 3, 271 |
| 814 | 2, 11, 37 |
| 815 | 5, 163 |
| 816 | 24 × 3 × 17 |
| 817 | 19, 43 |
| 818 | 2, 409 |
| 819 | 32 × 7 × 13 |
| 820 | 22 × 5 × 41 |
| 821 | 821 |
| 822 | 2, 3, 137 |
| 823 | 823 |
| 824 | 23 × 103 |
| 825 | 3 × 52 × 11 |
| 826 | 2, 7, 59 |
| 827 | 827 |
| 828 | 22 × 32 × 23 |
| 829 | 829 |
| 830 | 2, 5, 83 |
| 831 | 3, 277 |
| 832 | 26 × 13 |
| 833 | 72 × 17 |
| 834 | 2, 3, 139 |
| 835 | 5, 167 |
| 836 | 22 × 11 × 19 |
| 837 | 33 × 31 |
| 838 | 2, 419 |
| 839 | 839 |
| 840 | 23 × 3 × 5 × 7 |
| 841 | 292 |
| 842 | 2, 421 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself