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## Main Question or Discussion Point

hi...how can i tell which number is larger just from using logic?

for example a question says "which is larger 2^1000 or 500!?" the answer is 500! and the hint is: just compare the 500 factors appearing in each expression. i don't understand the hint but more importantly, i'm just not seeing the logic part of it.

thanks,

barneygumble742

for example a question says "which is larger 2^1000 or 500!?" the answer is 500! and the hint is: just compare the 500 factors appearing in each expression. i don't understand the hint but more importantly, i'm just not seeing the logic part of it.

thanks,

barneygumble742