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Find all Numbers II (Posted on 2022-04-24) Difficulty: 3 of 5
Determine all possible value(s) of a non-leading zero, 5-digit positive integer N that satisfy each of these given conditions:
(i) Product of the digits of N is equal to the sum of its digits.
(ii) N is divisible by the sum of its digits.
(iii) N does NOT contain the digit 3.

Added for completeness:
What is the total number of values of N if we disregard condition (iii)?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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  Subject Author Date
No SubjectK Sengupta2022-08-02 10:09:40
SolutionSolutionBrian Smith2022-04-24 10:07:27
SolutionSolutionLarry2022-04-24 09:52:46
Solutioncomputer solutionCharlie2022-04-24 09:42:46
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