Prime factorization of 800800

Prime factorization of 800800:

By prime factorization of 800800 we follow 5 simple steps:
1. We write number 800800 above a 2-column table
2. We divide 800800 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

800800
prime factors	number to factorize
2	400400
2	200200
2	100100
2	50050
2	25025
5	5005
5	1001
7	143
11	13
13	1

Prime factorization of 800800 = 1×2×2×2×2×2×5×5×7×11×13= $ 1 × 2^5 × 5^2 × 7 × 11 × 13 $