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Nine digits Puzzle

Here's a little coffee-time challenge puzzle


Arrange the digits 1-9 to make a nine digit number such that:

When I first saw this puzzle, I immediately thought of a brute force approach; a few lines of code and you can permute through every possible combination of the digits in a few seconds, but by applying a couple of the simple divisibility rules we're taught in schools, you can solve this with pen, paper, and a half a cup of coffee.

If you need a refresher on simple divisibility tests, you can find one here.

Give it a go, then check your solution below:


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