burger fun / Four Fours / Solver

Make 48 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 48. 48 can be made with nothing but four 4s, + - × ÷, and parentheses.

Solutions using only + - × ÷

  • 4 × (4 × 4 - 4) = 48
  • 4 × (4 + 4 + 4) = 48

Solutions with square roots, factorials, exponents

  • 4! + 4! × 4 / 4 = 48
  • 4! + 4! + 4 - 4 = 48
  • 4! + 4 × 4! / 4 = 48
  • 4! + 4 + 4! - 4 = 48
  • 4! - 4 + 4 + 4! = 48

…and 1376 more at this tier.

1383 distinct solutions found in total, after removing trivial rearrangements.

Make 47 with four 4s · Make 49 with four 4s

The Number Lab

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

Read up on the 1881 original, pick another number in the solver, or find more free math games.