Prime factorization of 505050

Prime factorization of 505050:

By prime factorization of 505050 we follow 5 simple steps:
1. We write number 505050 above a 2-column table
2. We divide 505050 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

505050
prime factors	number to factorize
2	252525
3	84175
5	16835
5	3367
7	481
13	37
37	1

Prime factorization of 505050 = 1×2×3×5×5×7×13×37= $ 1 × 2 × 3 × 5^2 × 7 × 13 × 37 $