Let \(N\) be the number of ordered tuples of positive integers \( (a_1,a_2,\ldots, a_{27} )\) such that \( \frac{1}{a_1} + \frac{1}{a_2} + \cdots +\frac{1}{a_{27}} = 1\). Compute the remainder of \(N\) when \(N\) is divided by \(3\).

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Adnan_yaymea_i>1?

Kisoo KimIt seems there are infinitely many such tuples with a1 = 1, hence N is not a natural number, and the division is undefined. Would you please elaborate more?