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By prime factorization of 40320 we follow 5 simple steps:
1. We write number 40320 above a 2-column table
2. We divide 40320 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
40320 | |
prime factors | number to factorize |
2 | 20160 |
2 | 10080 |
2 | 5040 |
2 | 2520 |
2 | 1260 |
2 | 630 |
2 | 315 |
3 | 105 |
3 | 35 |
5 | 7 |
7 | 1 |
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