Make 36 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 36. 36 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

4 + 4 × (4 + 4) = 36

Solutions with concatenation and decimals

44 - 4 - 4 = 36
4 × 4 / .4 - 4 = 36
44 - (4 + 4) = 36
4 / (.4 / 4) - 4 = 36
(4 - .4) × 4 / .4 = 36

…and 4 more at this tier.

Solutions with square roots, factorials, exponents

4! + 4 × 4 - 4 = 36
4! + 4 + 4 + 4 = 36
4! - 4 + 4 × 4 = 36
4 + 4! + 4 + 4 = 36
4 + 4 + 4 + 4! = 36

…and 359 more at this tier.

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

Make 35 with four 4s · Make 37 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.