We first find the prime factorization of 9009 by continuous division:
3 | 9009
3 | 3003
11 | 1001
7 | 91
13
Therefore the prime factorization is 3² x 7 x 11 x 13.
Notice that 11 and 13 are consecutive odd numbers. When we express 3² in standard form it is 9. Then we have 4 consecutive odd numbers which are 7,9,11 and 13.
