burger fun / Four Fours / Solver
Make 10 with four 4s
The classic four fours puzzle: build an expression from exactly four 4s that equals 10. 10 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 10 — the solver checked every possible expression.
Solutions with concatenation and decimals
44 / 4.4 = 104.4 / .44 = 10(44 - 4) / 4 = 104 × 4 / .4 / 4 = 104 × 4 / 4 / .4 = 10
…and 49 more at this tier.
Solutions with square roots, factorials, exponents
4 × 4 - 4! / 4 = 104! - 4 - 4 / .4 = 104! - 4 / .4 - 4 = 10(4! + 4 × 4) / 4 = 10(4 - 4 / 4)! + 4 = 10
…and 848 more at this tier.
907 distinct solutions found in total, after removing trivial rearrangements.
Make 9 with four 4s · Make 11 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
Read up on the 1881 original, pick another number in the solver, or find more free math games.