Prime Factorization of 3003
What is the Prime Factorization of 3003?
Explanation of number 3003 Prime Factorization
Prime Factorization of 3003 it is expressing 3003 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3003.
Since number 3003 is a Composite number (not Prime) we can do its Prime Factorization.
To get a list of all Prime Factors of 3003, we have to iteratively divide 3003 by the smallest prime number possible until the result equals 1.
Here is the complete solution of finding Prime Factors of 3003:
The smallest Prime Number which can divide 3003 without a remainder is 3. So the first calculation step would look like:
3003 ÷ 3 = 1001
Now we repeat this action until the result equals 1:
1001 ÷ 7 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Now we have all the Prime Factors for number 3003. It is: 3, 7, 11, 13
Prime Factor Tree of 3003
We may also express the prime factorization of 3003 as a Factor Tree:
<a href="https://calculat.io/en/number/prime-factors-of/3003">Prime factors of 3003 - Calculatio</a>
Prime Factorization Table
| Number | Prime Factors |
|---|---|
| 2988 | 22 × 32 × 83 |
| 2989 | 72 × 61 |
| 2990 | 2, 5, 13, 23 |
| 2991 | 3, 997 |
| 2992 | 24 × 11 × 17 |
| 2993 | 41, 73 |
| 2994 | 2, 3, 499 |
| 2995 | 5, 599 |
| 2996 | 22 × 7 × 107 |
| 2997 | 34 × 37 |
| 2998 | 2, 1499 |
| 2999 | 2999 |
| 3000 | 23 × 3 × 53 |
| 3001 | 3001 |
| 3002 | 2, 19, 79 |
| 3003 | 3, 7, 11, 13 |
| 3004 | 22 × 751 |
| 3005 | 5, 601 |
| 3006 | 2 × 32 × 167 |
| 3007 | 31, 97 |
| 3008 | 26 × 47 |
| 3009 | 3, 17, 59 |
| 3010 | 2, 5, 7, 43 |
| 3011 | 3011 |
| 3012 | 22 × 3 × 251 |
| 3013 | 23, 131 |
| 3014 | 2, 11, 137 |
| 3015 | 32 × 5 × 67 |
| 3016 | 23 × 13 × 29 |
| 3017 | 7, 431 |
About "Prime Factorization" Calculator
Prime factors are the positive integers having only two factors - 1 and the number itself