Prime factorization of 27738

Prime factorization of 27738:

By prime factorization of 27738 we follow 5 simple steps:
1. We write number 27738 above a 2-column table
2. We divide 27738 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

27738
prime factors	number to factorize
2	13869
3	4623
3	1541
23	67
67	1

Prime factorization of 27738 = 1×2×3×3×23×67= $ 1 × 2 × 3^2 × 23 × 67 $