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Simplify[Mod[FromDigits[{a, b, a, b, a, b}], 7]==0, {a, b} ∈ PositiveIntegers]
True
BTW,{a, b} ∈ Integers also work.
{a, b} ∈ Integers
Simplify[Mod[FromDigits[{a, b, a, b, a, b}], 7]7]==0, {a, b} ∈ PositiveIntegers]
0True
Simplify[Mod[FromDigits[{a, b, a, b, a, b}], 7], {a, b} ∈ PositiveIntegers]
0
