# Prime factorization of 1849

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Prime factorization of 1849:

By prime factorization of 1849 we follow 5 simple steps:
1. We write number 1849 above a 2-column table
2. We divide 1849 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

 1849 prime factors number to factorize 43 43 43 1

Prime factorization of 1849 = 1×43×43= $1 × 43^2$

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