What is the smallest positive five-digit integer, with all different digits, that is divisible by each of its non-zero digits? (The number itself may have 0 as a digit.)
Assuming that "0' can only be used once, let's guess that smallest 5 digit number would have to have 102 as its first three digits.
Assume that the nexrt digit might be "3"......the following digit can't be 1,2, 3.....it also can't be 4 because 10234 isn't divisible by 3 or 4....and it can't be 10235 because that isn't divisible by 2.or 3.
But, 10236 is divisible by all its non-zero digits.
Assuming that "0' can only be used once, let's guess that smallest 5 digit number would have to have 102 as its first three digits.
Assume that the nexrt digit might be "3"......the following digit can't be 1,2, 3.....it also can't be 4 because 10234 isn't divisible by 3 or 4....and it can't be 10235 because that isn't divisible by 2.or 3.
But, 10236 is divisible by all its non-zero digits.