Prime Factorization of 9990
What is the Prime Factorization of 9990?
or
Explanation of number 9990 Prime Factorization
Prime Factorization of 9990 it is expressing 9990 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 9990.
Since number 9990 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 9990, we have to iteratively divide 9990 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 9990:
The smallest Prime Number which can divide 9990 without a remainder is 2. So the first calculation step would look like:
9990 ÷ 2 = 4995
Now we repeat this action until the result equals 1:
4995 ÷ 3 = 1665
1665 ÷ 3 = 555
555 ÷ 3 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Now we have all the Prime Factors for number 9990. It is: 2, 3, 3, 3, 5, 37
Or you may also write it in exponential form: 2 × 33 × 5 × 37
Prime Factor Tree of 9990
We may also express the prime factorization of 9990 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/9990">Prime factors of 9990 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 9975 | 3 × 52 × 7 × 19 |
| 9976 | 23 × 29 × 43 |
| 9977 | 11, 907 |
| 9978 | 2, 3, 1663 |
| 9979 | 17, 587 |
| 9980 | 22 × 5 × 499 |
| 9981 | 32 × 1109 |
| 9982 | 2, 7, 23, 31 |
| 9983 | 67, 149 |
| 9984 | 28 × 3 × 13 |
| 9985 | 5, 1997 |
| 9986 | 2, 4993 |
| 9987 | 3, 3329 |
| 9988 | 22 × 11 × 227 |
| 9989 | 7, 1427 |
| 9990 | 2 × 33 × 5 × 37 |
| 9991 | 97, 103 |
| 9992 | 23 × 1249 |
| 9993 | 3, 3331 |
| 9994 | 2, 19, 263 |
| 9995 | 5, 1999 |
| 9996 | 22 × 3 × 72 × 17 |
| 9997 | 13, 769 |
| 9998 | 2, 4999 |
| 9999 | 32 × 11 × 101 |
| 10000 | 24 × 54 |
| 10001 | 73, 137 |
| 10002 | 2, 3, 1667 |
| 10003 | 7, 1429 |
| 10004 | 22 × 41 × 61 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself