burger fun / 24 Game Solver / Notable hands

Make 24 with 1, 2, 4, 8

The 24 Game hand 1, 2, 4, 8: use each digit exactly once with + - × ÷ and parentheses to reach exactly 24. 14 distinct solutions exist — difficulty easy (6 or more distinct solutions).

Solutions for 1, 2, 4, 8

  • (1 + 4 - 2) × 8 = 24
  • (1 + 4 ÷ 2) × 8 = 24
  • (1 × 4 + 8) × 2 = 24
  • (1 × 8 + 4) × 2 = 24
  • (1 × 8 - 2) × 4 = 24
  • (4 + 8 ÷ 1) × 2 = 24
  • (4 + 8) × 1 × 2 = 24
  • (4 + 8) × 2 ÷ 1 = 24
  • (4 ÷ 1 + 8) × 2 = 24
  • (8 - 1 × 2) × 4 = 24
  • (8 - 2 ÷ 1) × 4 = 24
  • (8 - 2) × 1 × 4 = 24
  • (8 - 2) × 4 ÷ 1 = 24
  • (8 ÷ 1 - 2) × 4 = 24

Rearrangements like 8 × 3 vs 3 × 8 count as one solution — everything above is genuinely different, and every line is verified with exact fraction arithmetic.

Make 24 with 1, 6, 9, 9 · Make 24 with 1, 7, 8, 9

Browse the hardest 24 game puzzles, drill hands like this in practice mode, or solve any hand with the 24 game solver.

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.