Prime factorization of 78400

Prime factorization of 78400:

By prime factorization of 78400 we follow 5 simple steps:
1. We write number 78400 above a 2-column table
2. We divide 78400 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

78400
prime factors	number to factorize
2	39200
2	19600
2	9800
2	4900
2	2450
2	1225
5	245
5	49
7	7
7	1

Prime factorization of 78400 = 1×2×2×2×2×2×2×5×5×7×7= $ 1 × 2^6 × 5^2 × 7^2 $