burger fun / Four Fours / Solver

Make 28 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 28. 28 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

  • 4 × (4 + 4) - 4 = 28

Solutions with concatenation and decimals

  • 44 - 4 × 4 = 28

Solutions with square roots, factorials, exponents

  • 4! + 4 × 4 / 4 = 28
  • 4! + 4 + 4 - 4 = 28
  • 4! - 4 + 4 + 4 = 28
  • 4 + 4! × 4 / 4 = 28
  • 4 + 4! + 4 - 4 = 28

…and 647 more at this tier.

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

How 28 compares

28 has 654 distinct solutions across all three tiers — #18 most plentiful of the 95 solvable targets. Exactly one of them uses nothing but + - × ÷. Next door, 27 has 65 solutions and 29 has 74 solutions. The nearest impossible target is 73, 45 away — proven unreachable, not just unsolved.

If 28 went down easily, make 27 with four 4s — 65 solutions, the nearest step up in scarcity.

Make 27 with four 4s · Make 29 with four 4s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

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.