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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?

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meerkat18
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. 

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