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

Prime number are numbers that are divisible only by 1 and the number itself. Examples would be 1, 2, 3, 5, and 7. The prime factorization of 5005 is as follows:

                                    5005
                                    /      \
                               5005    1
                                /    \
                           1001  5
                            /     \
                           7    143

The prime numbers are 1, 5, 7 and 143. Arranging the digits in increasing order, that would be: 1, 1, 3, 4, 5, 7. Thus, the code is 113457.