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The generation of the candidate triangular numbers is straightforward. But the code to chose the right three numbers is messier than I’d hoped – especially as it’s easy to find the solution by inspection of the candidates. This Python program runs in 50ms.

Solution:The three factors in your solution are 3, 6 and 21.Written in python 3,

solve()

378 3 6 21

990 3 6 55

630 3 10 21