Mathegoras

Arithmetic › Order of operations › Multiplication and division chains

Smallest result from changing multiplications to divisions

Middle school · ●●●○○ 50 pts

In the expression 9×8×7×6×5×4×3×2×19 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1, some of the "×\times" signs are changed to "÷\div" so that the final result is still a natural number NN. Find the smallest possible NN.

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prime factorisationdivisibility