Prime Factorization of 1001
What is the Prime Factorization of 1001?
Explanation of number 1001 Prime Factorization
Prime Factorization of 1001 it is expressing 1001 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 1001.
Since number 1001 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 1001, we have to iteratively divide 1001 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 1001:
The smallest Prime Number which can divide 1001 without a remainder is 7. So the first calculation step would look like:
1001 ÷ 7 = 143
Now we repeat this action until the result equals 1:
143 ÷ 11 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 1001. It is: 7, 11, 13
Prime Factor Tree of 1001
We may also express the prime factorization of 1001 as a Factor Tree:
Related Calculations
<a href="https://calculat.io/en/number/prime-factors-of/1001">Prime factors of 1001 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 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 |
| 1013 | 1013 |
| 1014 | 2 × 3 × 132 |
| 1015 | 5, 7, 29 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself