Prime factorization of 71000

Prime factorization of 71000:

By prime factorization of 71000 we follow 5 simple steps:
1. We write number 71000 above a 2-column table
2. We divide 71000 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

71000
prime factors	number to factorize
2	35500
2	17750
2	8875
5	1775
5	355
5	71
71	1

Prime factorization of 71000 = 1×2×2×2×5×5×5×71= $ 1 × 2^3 × 5^3 × 71 $