✦ Problem of the Day
Matt's Paper Piles
Matt has somewhere between 1000 and 2000 pieces of paper he's trying to divide into piles of the same size (but not all in one pile or piles of one sheet each). He tries 2, 3, 4, 5, 6, 7, and 8 piles but ends up with one sheet left over each time. How many piles does he need?
💡 View Hint
Matt's count leaves remainder 1 when divided by 2, 3, 4, 5, 6, 7, and 8. So his count is 1 more than a multiple of lcm(2,3,4,5,6,7,8). Compute that LCM, find multiples in [999, 1999], then determine the number of equal piles.
MediumNumber Theory
2026-06-06📚
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