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By prime factorization of 205891132094649 we follow 5 simple steps:
1. We write number 205891132094649 above a 2-column table
2. We divide 205891132094649 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
205891132094649 | |
prime factors | number to factorize |
3 | 68630377364883 |
3 | 22876792454961 |
3 | 7625597484987 |
3 | 2541865828329 |
3 | 847288609443 |
3 | 282429536481 |
3 | 94143178827 |
3 | 31381059609 |
3 | 10460353203 |
3 | 3486784401 |
3 | 1162261467 |
3 | 387420489 |
3 | 129140163 |
3 | 43046721 |
3 | 14348907 |
3 | 4782969 |
3 | 1594323 |
3 | 531441 |
3 | 177147 |
3 | 59049 |
3 | 19683 |
3 | 6561 |
3 | 2187 |
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
3 | 1 |
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