Make 7 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 7. 7 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

4 + 4 - 4 / 4 = 7
4 - (4 / 4 - 4) = 7

Solutions with concatenation and decimals

44 / 4 - 4 = 7
4.4 / .4 - 4 = 7
4 + 4 - .4 / .4 = 7
(.4 + 4) / .4 - 4 = 7
4 - (.4 / .4 - 4) = 7

Solutions with square roots, factorials, exponents

4! / 4 + 4 / 4 = 7
4 + 4 - 4! / 4! = 7
.4 / .4 + 4! / 4 = 7
4! / 4 + 4! / 4! = 7
4 + 4! / (4 + 4) = 7

…and 164 more at this tier.

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

How 7 compares

7 has 176 distinct solutions across all three tiers — #33 most plentiful of the 95 solvable targets. 2 of them use nothing but + - × ÷. Next door, 6 has 2,667 solutions and 8 has 1,975 solutions. The nearest impossible target is 73, 66 away — proven unreachable, not just unsolved.

If 7 went down easily, make 13 with four 4s — 70 solutions, the nearest step up in scarcity.

Make 6 with four 4s · Make 8 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.