1 6 8 10 = 24: 16 solutions

Difficulty: HardOpen in Solver

1 × 6 + 8 + 10 = 24

1 × 6 = 6
8 + 10 = 18
6 + 18 = 24

16 solutions

1 × 8 + 6 + 10 = 24Steps
1. 1 × 8 = 8
2. 6 + 10 = 16
3. 8 + 16 = 24
1 × 10 + 6 + 8 = 24Steps
1. 1 × 10 = 10
2. 6 + 8 = 14
3. 10 + 14 = 24
6 ÷ 1 + 8 + 10 = 24Steps
1. 6 ÷ 1 = 6
2. 8 + 10 = 18
3. 6 + 18 = 24
6 + 8 + 10 ÷ 1 = 24Steps
1. 6 + 8 = 14
2. 10 ÷ 1 = 10
3. 14 + 10 = 24
6 + 10 + 8 ÷ 1 = 24Steps
1. 6 + 10 = 16
2. 8 ÷ 1 = 8
3. 16 + 8 = 24
10 + 1 × (6 + 8) = 24Steps
1. 6 + 8 = 14
2. 1 × 14 = 14
3. 10 + 14 = 24
1 × (10 + 6 + 8) = 24Steps
1. 6 + 8 = 14
2. 10 + 14 = 24
3. 1 × 24 = 24
(10 + 6 + 8) ÷ 1 = 24Steps
1. 6 + 8 = 14
2. 10 + 14 = 24
3. 24 ÷ 1 = 24
10 + (6 + 8) ÷ 1 = 24Steps
1. 6 + 8 = 14
2. 14 ÷ 1 = 14
3. 10 + 14 = 24
8 + 1 × (6 + 10) = 24Steps
1. 6 + 10 = 16
2. 1 × 16 = 16
3. 8 + 16 = 24
8 + (6 + 10) ÷ 1 = 24Steps
1. 6 + 10 = 16
2. 16 ÷ 1 = 16
3. 8 + 16 = 24
6 + 1 × (8 + 10) = 24Steps
1. 8 + 10 = 18
2. 1 × 18 = 18
3. 6 + 18 = 24
6 + (8 + 10) ÷ 1 = 24Steps
1. 8 + 10 = 18
2. 18 ÷ 1 = 18
3. 6 + 18 = 24
6 ÷ (10 ÷ 8 − 1) = 24Steps
1. 10 ÷ 8 = 5/4
2. 5/4 − 1 = 1/4
3. 6 ÷ 1/4 = 24
8 × (10 − (1 + 6)) = 24Steps
1. 1 + 6 = 7
2. 10 − 7 = 3
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.

FAQ

Can 1 6 8 10 make 24?

Yes. Every one of them is listed above with step-by-step working.

How many solutions does 1 6 8 10 have?

16 — the list above is exhaustive, so every mathematically distinct way to combine the numbers is shown.

How difficult is 1 6 8 10?

It is rated “Hard” 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).