Prime factorization of 38416

Prime factorization of 38416:

By prime factorization of 38416 we follow 5 simple steps:
1. We write number 38416 above a 2-column table
2. We divide 38416 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

38416
prime factors	number to factorize
2	19208
2	9604
2	4802
2	2401
7	343
7	49
7	7
7	1

Prime factorization of 38416 = 1×2×2×2×2×7×7×7×7= $ 1 × 2^4 × 7^4 $