Make 47 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 47. 47 cannot be made with + - × ÷, concatenation, or decimals (the solver checked every expression) — solutions need square roots, factorials, or exponents.

Solutions using only + - × ÷

No expression made of four plain 4s and + - × ÷ reaches 47 — the solver checked every possible expression.

Solutions with concatenation and decimals

Concatenation and decimals do not help for 47 either — every combination was checked.

Solutions with square roots, factorials, exponents

4! + 4! - 4 / 4 = 47
4! + 4! - .4 / .4 = 47
4! + 4! - 4! / 4! = 47
4! - (4 / 4 - 4!) = 47
4! + 4! - (4 - 4)! = 47

…and 21 more at this tier.

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

Make 46 with four 4s · Make 48 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.