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#53 Dividing digits
Set by Katie Steckles
The number 1 has one digit and is divisible by 1; 12 has two digits and is divisible by 2; 123 has three digits and is divisible by 3.
Which new digit (not already used) can be added to the end of 123 to make a four-digit number that is divisible by 4?
How far can you extend this number by adding unused digits to continue the property of divisibility by the number of digits?
Can you find a way to arrange the digits 0-9 into an order for which the whole number is divisible…
