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 = 444 + 44 - 4 = 444 - 4 + 44 = 444 / 4 × 44 = 4444.4 - .4 = 44
…and 22 more at this tier.
Solutions with square roots, factorials, exponents
4! × 44 / 4! = 444! + 4 + 4 × 4 = 444! + 44 - 4! = 444! - 4! + 44 = 444! / 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.
- Four Nines — the daily puzzle
- Four Nines solver — every target, solved
- Four Fours — the 1881 original
- Four Fours solver — including the impossible five
- Make 24 solver — any four digits
- Today's 24 — one new hand a day
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.