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By prime factorization of 44 we follow 4 simple steps:
1. We write number 44 above a 2-column table
2. We divide 44 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
| 44 | |
| prime factors | number to factorize |
| 2 | 22 |
| 2 | 11 |
| 11 | 1 |
| Factors of 233 | | Factors of 22 | | Factors of 125567 | | Factors of 39 | | Prime factorization of 125 |