burger fun / Four Fours / Solver

Make 29 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 29. 29 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 29 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 4 + 4 / .4 / .4 = 29
  • 4 + 4 / (.4 × .4) = 29

Solutions with square roots, factorials, exponents

  • 4! + 4 + 4 / 4 = 29
  • 4 + 4! + 4 / 4 = 29
  • .4 / .4 + 4! + 4 = 29
  • .4 / .4 + 4 + 4! = 29
  • 4! + 4 + 4! / 4! = 29

…and 67 more at this tier.

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

How 29 compares

29 has 74 distinct solutions across all three tiers — #44 most plentiful of the 95 solvable targets. Next door, 28 has 654 solutions and 30 has 453 solutions. The nearest impossible target is 73, 44 away — proven unreachable, not just unsolved.

If 29 went down easily, make 31 with four 4s — 9 solutions, the nearest step up in scarcity.

Make 28 with four 4s · Make 30 with four 4s

The Number Lab

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

Got what you came for?

Stay for something you did not search for.

  • Four Nines — the daily sibling: four 9s, one target, new at midnight
  • The Reflex Lab — nine ways to measure your hands and memory, none of them polite about it
  • hand me something weird — a random pick from the directory. Could be the horse.

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