Prime Factorization of 988
What is the Prime Factorization of 988?
or
Explanation of number 988 Prime Factorization
Prime Factorization of 988 it is expressing 988 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 988.
Since number 988 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 988, we have to iteratively divide 988 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 988:
The smallest Prime Number which can divide 988 without a remainder is 2. So the first calculation step would look like:
988 ÷ 2 = 494
Now we repeat this action until the result equals 1:
494 ÷ 2 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1
Now we have all the Prime Factors for number 988. It is: 2, 2, 13, 19
Or you may also write it in exponential form: 22 × 13 × 19
Prime Factor Tree of 988
We may also express the prime factorization of 988 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/988">Prime factors of 988 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 996 | 22 × 3 × 83 |
| 997 | 997 |
| 998 | 2, 499 |
| 999 | 33 × 37 |
| 1000 | 23 × 53 |
| 1001 | 7, 11, 13 |
| 1002 | 2, 3, 167 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself