burger fun / Four Fours / Solver

Make 43 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 43. 43 cannot be made with + - × ÷ alone (the solver checked every expression) — you will need to stick 4s together (like 44) or use decimals (like .4).

Solutions using only + - × ÷

No expression made of four plain 4s and + - × ÷ reaches 43 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 44 - 4 / 4 = 43
  • 44 - .4 / .4 = 43

Solutions with square roots, factorials, exponents

  • 44 - 4! / 4! = 43
  • 44 - (4 - 4)! = 43
  • 44 - (.4 - .4)! = 43
  • 44 - (4! - 4!)! = 43
  • 4! + 4! - sqrt(4) / .4 = 43

…and 4 more at this tier.

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

Make 42 with four 4s · Make 44 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.