The 6 digit number is prime factorization of 5005. If each digit of those increases from left to right, what is his code?

Question

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

Answer 1

5005/5=1001

1001/11=91

91/7=13

5005=5*11*7*13

11 13 5 7

111357 is the code

 

there is a pattern for divisibility by 11 for numbers like 101,1001,10001,100001,...

the number of zeroes between the 1's must be even

1001, 100001, 10000001, 1000000001, etc are divisible by 11 (think of the rule for divisibility by 11)