Answer:
The code is 571113
Explanation:
The problem requires that we find the prime factors of 5005
1. 5005 is a multiple of 5 since it ends with a number 5
5 is one of the numbers
Dividing 5005/5 = 1001
the next prime number after 5 is 7
so 1001/7= 143
7 is one of the numbers
the next prime number after 7 is 11
so 143/11= 13
13 is one of the numbers
In all the prime factorization of 5005 is found as follows
5,7 11,13
Combining these numbers gives the 6 digit code
571113