burger fun / Four Fours / Solver

Make 60 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 60. 60 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

  • 4 × 4 × 4 - 4 = 60

Solutions with concatenation and decimals

  • 4 × 4 + 44 = 60

Solutions with square roots, factorials, exponents

  • 4 ^ 4 / 4 - 4 = 60
  • 4! × 4 / .4 / 4 = 60
  • 4! × 4 / 4 / .4 = 60
  • 4! / .4 × 4 / 4 = 60
  • 4! / .4 + 4 - 4 = 60

…and 612 more at this tier.

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

How 60 compares

60 has 619 distinct solutions across all three tiers — #19 most plentiful of the 95 solvable targets. Exactly one of them uses nothing but + - × ÷. Next door, 59 has 36 solutions and 61 has 32 solutions. The nearest impossible target is 73, 13 away — proven unreachable, not just unsolved.

If 60 went down easily, make 59 with four 4s — 36 solutions, the nearest step up in scarcity.

Make 59 with four 4s · Make 61 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.