burger fun / Four Fours / Solver

Make 64 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 64. 64 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

  • (4 + 4) × (4 + 4) = 64

Solutions with square roots, factorials, exponents

  • 4! + 44 - 4 = 64
  • 4! - 4 + 44 = 64
  • 4! + 4! + 4 × 4 = 64
  • 4! + 4 × 4 / .4 = 64
  • 4! - (4 - 44) = 64

…and 705 more at this tier.

711 distinct solutions found in total, after removing trivial rearrangements.

Make 63 with four 4s · Make 65 with four 4s

The Number Lab

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

Read up on the 1881 original, pick another number in the solver, or find more free math games.