prime factorization of 5005

Question

Brent knows that the 6-digit number he uses to open his computer is the prime factorization of 5005.  If each digit increases from left to right what is the code?

Answer 1

5 x 7 x 11 x 13

 

I did this by consulting a list of the first few prime numbers and then dividing by 5 and then dividing the result by the next prime number to find a whole number, etc.