Prime factorization of 821516

Prime factorization of 821516:

By prime factorization of 821516 we follow 5 simple steps:
1. We write number 821516 above a 2-column table
2. We divide 821516 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

821516
prime factors	number to factorize
2	410758
2	205379
59	3481
59	59
59	1

Prime factorization of 821516 = 1×2×2×59×59×59= $ 1 × 2^2 × 59^3 $