# Sunday Times Teaser 2619 – First and Last

*by Graham Smithers*

#### Published: 2 December 2012 (link)

A “First and last” number (FLN) is any number that is divisible by its first and last digits. Using each non-zero digit just once, I wrote down a 3-figure FLN followed by three 2-figure FLNs. Putting these in one long line in that order gave me a 9-figure FLN. When the first and last digits were removed from this 9-figure number, I was left with a 7-figure FLN.

What was the 9-figure number?

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Here is my solution:

Another version using permutations: