Prime factorization of 409600

Prime factorization of 409600:

By prime factorization of 409600 we follow 5 simple steps:
1. We write number 409600 above a 2-column table
2. We divide 409600 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

409600
prime factors	number to factorize
2	204800
2	102400
2	51200
2	25600
2	12800
2	6400
2	3200
2	1600
2	800
2	400
2	200
2	100
2	50
2	25
5	5
5	1

Prime factorization of 409600 = 1×2×2×2×2×2×2×2×2×2×2×2×2×2×2×5×5= $ 1 × 2^14 × 5^2 $