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How many different factorizations are there of
2310=2⋅3⋅5⋅7⋅11?2310 = 2\cdot 3\cdot 5\cdot 7\cdot 11?2310=2⋅3⋅5⋅7⋅11?
For instance, the number 42=2⋅3⋅742 = 2\cdot 3\cdot 742=2⋅3⋅7 has five different factorizations:
42, 2×21, 3×14, 6×7, 2×3×7.42,\ \ 2\times 21,\ \ 3\times 14,\ \ 6\times 7,\ \ 2\times 3\times 7.42, 2×21, 3×14, 6×7, 2×3×7.
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