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By prime factorization of 3123124512141234213 we follow 5 simple steps:
1. We write number 3123124512141234213 above a 2-column table
2. We divide 3123124512141234213 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
| 3123124512141234213 | |
| prime factors | number to factorize |
| 3 | 1041041504047078071 |
| 3 | 347013834682359357 |
| 3 | 115671278227453119 |
| 3 | 38557092742484373 |
| 3 | 12852364247494791 |
| 3 | 4284121415831597 |
| 17 | 252007142107741 |
| 8737 | 28843669693 |
| 63397 | 454969 |
| 454969 | 1 |
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