2. (2 points) In the quarry, there was a pile of 20160000 sand grains. A truck carried away from the quarry a quantity of sand grains per trip, which was some power of 8 (including possibly $8^{0}=1$). Could it have carried away the entire pile of sand in exactly 1000 trips?
Answer: No.

Solution: Note that 8 to any power always gives a remainder of 1 when divided by 7. Since 20160000 is divisible by 7, this means that the number of trips needed to transport the entire pile must be a multiple of 7, and 1000 is not divisible by 7.