Solution - 6875
Now, something more open and challenging...
Solution
Fingers crossed I've coded this right! \(67\times85=5695\)
You can have a 3 digit number multiplied by the remaining digit, 2 digit by 2 digit, 2 digit by 1 by 1 or all digits mutliplied together. There's quite a few combinations to check. Some comparison between calculations can cut down some of the work.


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