Prime factorization of 10001000

Prime factorization of 10001000:

By prime factorization of 10001000 we follow 5 simple steps:
1. We write number 10001000 above a 2-column table
2. We divide 10001000 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

10001000
prime factors	number to factorize
2	5000500
2	2500250
2	1250125
5	250025
5	50005
5	10001
73	137
137	1

Prime factorization of 10001000 = 1×2×2×2×5×5×5×73×137= $ 1 × 2^3 × 5^3 × 73 × 137 $