Prime Factorization of 998
What is the Prime Factorization of 998?
Explanation of number 998 Prime Factorization
Prime Factorization of 998 it is expressing 998 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 998.
Since number 998 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 998, we have to iteratively divide 998 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 998:
The smallest Prime Number which can divide 998 without a remainder is 2. So the first calculation step would look like:
998 ÷ 2 = 499
Now we repeat this action until the result equals 1:
499 ÷ 499 = 1
Now we have all the Prime Factors for number 998. It is: 2, 499
Prime Factor Tree of 998
We may also express the prime factorization of 998 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/998">Prime factors of 998 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 1011 | 3, 337 |
| 1012 | 22 × 11 × 23 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself