Prime factorization of 1564

Prime factorization of 1564:

By prime factorization of 1564 we follow 5 simple steps:
1. We write number 1564 above a 2-column table
2. We divide 1564 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

1564
prime factors	number to factorize
2	782
2	391
17	23
23	1

Prime factorization of 1564 = 1×2×2×17×23= $ 1 × 2^2 × 17 × 23 $