Prime factorization of 40320

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Prime factorization of 40320:

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 factorsnumber to factorize
220160
210080
25040
22520
21260
2630
2315
3105
335
57
71


Prime factorization of 40320 = 1×2×2×2×2×2×2×2×3×3×5×7= $ 1 × 2^7 × 3^2 × 5 × 7 $

 

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