Prime factorization of 61009

Prime factorization of 61009:

By prime factorization of 61009 we follow 5 simple steps:
1. We write number 61009 above a 2-column table
2. We divide 61009 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

61009
prime factors	number to factorize
13	4693
13	361
19	19
19	1

Prime factorization of 61009 = 1×13×13×19×19= $ 1 × 13^2 × 19^2 $