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By prime factorization of 1001001001001001 we follow 5 simple steps:
1. We write number 1001001001001001 above a 2-column table
2. We divide 1001001001001001 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table
| 1001001001001001 | |
| prime factors | number to factorize |
| 3 | 333667000333667 |
| 7 | 47666714333381 |
| 11 | 4333337666671 |
| 13 | 333333666667 |
| 19 | 17543877193 |
| 52579 | 333667 |
| 333667 | 1 |
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