Make 63 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 63. 63 can be made with nothing but four 9s, + - × ÷, and parentheses.

Solutions using only + - × ÷

9 × 9 - 9 - 9 = 63
9 × 9 - (9 + 9) = 63

Solutions with square roots, factorials, exponents

(9 + 9) × sqrt(9) + 9 = 63
9 + 9 × (9 - sqrt(9)) = 63
9 - 9 × (sqrt(9) - 9) = 63
(9 / sqrt(9))! × 9 + 9 = 63
.9 × sqrt(9)!! / 9 - 9 = 63

…and 68 more at this tier.

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

How 63 compares

63 has 75 distinct solutions across all three tiers — #40 most plentiful of all 100 targets. 2 of them use nothing but + - × ÷. Next door, 62 has 6 solutions and 64 has 129 solutions.

If 63 went down easily, make 62 with four 9s — 6 solutions, the nearest step up in scarcity.

Make 62 with four 9s · Make 64 with four 9s

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 puzzle: 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.

Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.