burger fun / Four Fours / Solver

Make 44 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 44. 44 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 44 — the solver checked every possible expression.

Solutions with concatenation and decimals

  • 4 × 44 / 4 = 44
  • 4 + 44 - 4 = 44
  • 4 - 4 + 44 = 44
  • 4 / 4 × 44 = 44
  • 44.4 - .4 = 44

…and 22 more at this tier.

Solutions with square roots, factorials, exponents

  • 4! × 44 / 4! = 44
  • 4! + 4 + 4 × 4 = 44
  • 4! + 44 - 4! = 44
  • 4! - 4! + 44 = 44
  • 4! / 4! × 44 = 44

…and 228 more at this tier.

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

How 44 compares

44 has 260 distinct solutions across all three tiers — #28 most plentiful of the 95 solvable targets. Next door, 43 has 11 solutions and 45 has 26 solutions. The nearest impossible target is 73, 29 away — proven unreachable, not just unsolved.

If 44 went down easily, make 43 with four 4s — 11 solutions, the nearest step up in scarcity.

Make 43 with four 4s · Make 45 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.