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By prime factorization of 123574 we follow 5 simple steps:
1. We write number 123574 above a 2-column table
2. We divide 123574 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
| 123574 | |
| prime factors | number to factorize |
| 2 | 61787 |
| 11 | 5617 |
| 41 | 137 |
| 137 | 1 |
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