Prime factorization of 7829729

Prime factorization of 7829729:

By prime factorization of 7829729 we follow 5 simple steps:
1. We write number 7829729 above a 2-column table
2. We divide 7829729 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

7829729
prime factors	number to factorize
19	412091
19	21689
23	943
23	41
41	1

Prime factorization of 7829729 = 1×19×19×23×23×41= $ 1 × 19^2 × 23^2 × 41 $