burger fun / Four Fours / Solver

Make 34 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 34. 34 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 34 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 44 - 4 / .4 = 34

Solutions with square roots, factorials, exponents

  • 4! + 4 + 4! / 4 = 34
  • 4! / 4 + 4 + 4! = 34
  • 4 + 4! + 4! / 4 = 34
  • .4 × 4! + .4 + 4! = 34
  • .4 + .4 × 4! + 4! = 34

…and 74 more at this tier.

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

Make 33 with four 4s · Make 35 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.