Prime Factorization of 989
What is the Prime Factorization of 989?
Explanation of number 989 Prime Factorization
Prime Factorization of 989 it is expressing 989 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 989.
Since number 989 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 989, we have to iteratively divide 989 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 989:
The smallest Prime Number which can divide 989 without a remainder is 23. So the first calculation step would look like:
989 ÷ 23 = 43
Now we repeat this action until the result equals 1:
43 ÷ 43 = 1
Now we have all the Prime Factors for number 989. It is: 23, 43
Prime Factor Tree of 989
We may also express the prime factorization of 989 as a Factor Tree:
Related Calculations
See Also
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Is number a Prime - Find out whether a given number is Prime or not
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
<a href="https://calculat.io/en/number/prime-factors-of/989">Prime factors of 989 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 974 | 2, 487 |
| 975 | 3 × 52 × 13 |
| 976 | 24 × 61 |
| 977 | 977 |
| 978 | 2, 3, 163 |
| 979 | 11, 89 |
| 980 | 22 × 5 × 72 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself