7digit number, divided by it's own digits
Source: 2007 Estonia National Olympiad Final Round grade 10 p1
March 12, 2020
number theorydividedDigits
Problem Statement
The seven-digit integer numbers are different in pairs and this number is divided by each of its own numbers.
a) Find all possibilities for the three numbers that are not included in this number.
b) Give an example of such a number.