Prime factorization of 45000

Prime factorization of 45000:

By prime factorization of 45000 we follow 5 simple steps:
1. We write number 45000 above a 2-column table
2. We divide 45000 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

45000
prime factors	number to factorize
2	22500
2	11250
2	5625
3	1875
3	625
5	125
5	25
5	5
5	1

Prime factorization of 45000 = 1×2×2×2×3×3×5×5×5×5= $ 1 × 2^3 × 3^2 × 5^4 $