Number theory › Divisibility › Assorted divisibility puzzles

Natural numbers with terminating quotients

High school · ●●●○○ 50 pts

Find all natural numbers n≥2n \geq 2 such that for every positive integer k<nk < n, the quotient nk\frac{n}{k} has a finite decimal representation (or is a whole number). List the values in increasing order.

Enter the values in any order.

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terminating decimalsprime factorisationcoprime integers