Prime Factorization of 981
What is the Prime Factorization of 981?
or
Explanation of number 981 Prime Factorization
Prime Factorization of 981 it is expressing 981 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 981.
Since number 981 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 981, we have to iteratively divide 981 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 981:
The smallest Prime Number which can divide 981 without a remainder is 3. So the first calculation step would look like:
981 ÷ 3 = 327
Now we repeat this action until the result equals 1:
327 ÷ 3 = 109
109 ÷ 109 = 1
Now we have all the Prime Factors for number 981. It is: 3, 3, 109
Or you may also write it in exponential form: 32 × 109
Prime Factor Tree of 981
We may also express the prime factorization of 981 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/981">Prime factors of 981 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 966 | 2, 3, 7, 23 |
| 967 | 967 |
| 968 | 23 × 112 |
| 969 | 3, 17, 19 |
| 970 | 2, 5, 97 |
| 971 | 971 |
| 972 | 22 × 35 |
| 973 | 7, 139 |
| 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 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself