Verified Answer :

TortureMan

720 and 5,040 are the next two numbers

isgdxhlur

The multiplier increases by one each time: 

1 x 2 = 2 
2 x 3 = 6 
6 x 4 = 24 
24 x 5 = 120 
120 x 6 = 720 
720 x 7 = 5040 
5040 x 8 = 40320 
....

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