Prime factorization of 1742400

Prime factorization of 1742400:

By prime factorization of 1742400 we follow 5 simple steps:
1. We write number 1742400 above a 2-column table
2. We divide 1742400 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

1742400
prime factors	number to factorize
2	871200
2	435600
2	217800
2	108900
2	54450
2	27225
3	9075
3	3025
5	605
5	121
11	11
11	1

Prime factorization of 1742400 = 1×2×2×2×2×2×2×3×3×5×5×11×11= $ 1 × 2^6 × 3^2 × 5^2 × 11^2 $