I'm thinking of a nine-digit integer whose digits are all distinct.
It happens that the number formed by the first n of them is divisible by n for each n from 1 to 9.
The number contains a zero but not as a leading digit.
Can you find all three numbers that satisfy the conditions above?
Watch for a similar problem in a couple of months!
Solution to the Problem:
The numbers are 381654720, 783204165, and 801654723.I did not include 081654327 because it is really an 8-digit number and you would not write it with a leading zero.
I also did not include 381654729 because it does not have a zero in it.
To solve this, note that the 5th digit must be a 5 or 0 because it is divisible by 5.
The 2nd, 4th, 6th, and 8th digits must be 0, 2, 4, 6,or 8 because they are divisible by 2, 4, 6, and 8.
Correctly solved by:
| 1. James Alarie | Flint, Michigan |