1699
1 6 9 9 = 24: 12 solutions
Difficulty: EasyOpen in Solver
1 × 6 + 9 + 9 = 24
- 1 × 6 = 6
- 9 + 9 = 18
- 6 + 18 = 24
12 solutions
1 × 9 + 6 + 9 = 24Steps
- 1 × 9 = 9
- 6 + 9 = 15
- 9 + 15 = 24
6 ÷ 1 + 9 + 9 = 24Steps
- 6 ÷ 1 = 6
- 9 + 9 = 18
- 6 + 18 = 24
6 + 9 + 9 ÷ 1 = 24Steps
- 6 + 9 = 15
- 9 ÷ 1 = 9
- 15 + 9 = 24
9 + 1 × (6 + 9) = 24Steps
- 6 + 9 = 15
- 1 × 15 = 15
- 9 + 15 = 24
1 × (9 + 6 + 9) = 24Steps
- 6 + 9 = 15
- 9 + 15 = 24
- 1 × 24 = 24
(9 + 6 + 9) ÷ 1 = 24Steps
- 6 + 9 = 15
- 9 + 15 = 24
- 24 ÷ 1 = 24
9 + (6 + 9) ÷ 1 = 24Steps
- 6 + 9 = 15
- 15 ÷ 1 = 15
- 9 + 15 = 24
6 + 1 × (9 + 9) = 24Steps
- 9 + 9 = 18
- 1 × 18 = 18
- 6 + 18 = 24
6 + (9 + 9) ÷ 1 = 24Steps
- 9 + 9 = 18
- 18 ÷ 1 = 18
- 6 + 18 = 24
(1 − 9) × (6 − 9) = 24Steps
- 1 − 9 = -8
- 6 − 9 = -3
- -8 × -3 = 24
(9 − 1) × (9 − 6) = 24Steps
- 9 − 1 = 8
- 9 − 6 = 3
- 8 × 3 = 24
Solving hints
Build a factor pair: split the four numbers into two groups and try to make a factor pair of 24 — 3 × 8, 4 × 6, or 12 × 2 — then multiply the two groups.
No factor pair divides cleanly? Switch to sums: make two numbers add up to 24, or try shapes like (a ± b) × (c ± d) and (a + b + c) × d.
Related hands
FAQ
Can 1 6 9 9 make 24?
Yes. Every one of them is listed above with step-by-step working.
How many solutions does 1 6 9 9 have?
12 — the list above is exhaustive, so every mathematically distinct way to combine the numbers is shown.
How difficult is 1 6 9 9?
It is rated “Easy” on our four-tier scale, based on whether whole-number intermediate steps suffice, how many distinct solutions exist, and whether the hand includes a two-digit card (10–13).