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4\times 2\times 2\times 3\times 3\times 5
Multiply 2 and 2 to get 4.
8\times 2\times 3\times 3\times 5
Multiply 4 and 2 to get 8.
16\times 3\times 3\times 5
Multiply 8 and 2 to get 16.
48\times 3\times 5
Multiply 16 and 3 to get 48.
144\times 5
Multiply 48 and 3 to get 144.
720
Multiply 144 and 5 to get 720.