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2\times 3\times 4\times 5\times 6\times 7\times 8
Multiply 1 and 2 to get 2.
6\times 4\times 5\times 6\times 7\times 8
Multiply 2 and 3 to get 6.
24\times 5\times 6\times 7\times 8
Multiply 6 and 4 to get 24.
120\times 6\times 7\times 8
Multiply 24 and 5 to get 120.
720\times 7\times 8
Multiply 120 and 6 to get 720.
5040\times 8
Multiply 720 and 7 to get 5040.
40320
Multiply 5040 and 8 to get 40320.