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A=1×2×⋯×100B=1×2×⋯×200 \begin{aligned} A &=& 1\times2\times\cdots \times 100 \\ B &=& 1\times2\times\cdots \times 200 \end{aligned} AB==1×2×⋯×1001×2×⋯×200
It's obvious that B÷AB\div A B÷A is an integer. Is it also true that B÷A÷AB\div A \div AB÷A÷A is still an integer?
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