Prime Factorization of 996
What is the Prime Factorization of 996?
or
Explanation of number 996 Prime Factorization
Prime Factorization of 996 it is expressing 996 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 996.
Since number 996 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 996, we have to iteratively divide 996 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 996:
The smallest Prime Number which can divide 996 without a remainder is 2. So the first calculation step would look like:
996 ÷ 2 = 498
Now we repeat this action until the result equals 1:
498 ÷ 2 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
Now we have all the Prime Factors for number 996. It is: 2, 2, 3, 83
Or you may also write it in exponential form: 22 × 3 × 83
Prime Factor Tree of 996
We may also express the prime factorization of 996 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/996">Prime factors of 996 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 981 | 32 × 109 |
| 982 | 2, 491 |
| 983 | 983 |
| 984 | 23 × 3 × 41 |
| 985 | 5, 197 |
| 986 | 2, 17, 29 |
| 987 | 3, 7, 47 |
| 988 | 22 × 13 × 19 |
| 989 | 23, 43 |
| 990 | 2 × 32 × 5 × 11 |
| 991 | 991 |
| 992 | 25 × 31 |
| 993 | 3, 331 |
| 994 | 2, 7, 71 |
| 995 | 5, 199 |
| 996 | 22 × 3 × 83 |
| 997 | 997 |
| 998 | 2, 499 |
| 999 | 33 × 37 |
| 1000 | 23 × 53 |
| 1001 | 7, 11, 13 |
| 1002 | 2, 3, 167 |
| 1003 | 17, 59 |
| 1004 | 22 × 251 |
| 1005 | 3, 5, 67 |
| 1006 | 2, 503 |
| 1007 | 19, 53 |
| 1008 | 24 × 32 × 7 |
| 1009 | 1009 |
| 1010 | 2, 5, 101 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself