Prime factorization of 529984

Prime factorization of 529984:

By prime factorization of 529984 we follow 5 simple steps:
1. We write number 529984 above a 2-column table
2. We divide 529984 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

529984
prime factors	number to factorize
2	264992
2	132496
2	66248
2	33124
2	16562
2	8281
7	1183
7	169
13	13
13	1

Prime factorization of 529984 = 1×2×2×2×2×2×2×7×7×13×13= $ 1 × 2^6 × 7^2 × 13^2 $