# Prime factorization of 149410800

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Prime factorization of 149410800:

By prime factorization of 149410800 we follow 5 simple steps:
1. We write number 149410800 above a 2-column table
2. We divide 149410800 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

 149410800 prime factors number to factorize 2 74705400 2 37352700 2 18676350 2 9338175 3 3112725 3 1037575 5 207515 5 41503 7 5929 7 847 7 121 11 11 11 1

Prime factorization of 149410800 = 1×2×2×2×2×3×3×5×5×7×7×7×11×11= $1 × 2^4 × 3^2 × 5^2 × 7^3 × 11^2$