1 2 10 12 = 24: 14 solutions

Difficulty: HardOpen in Solver

1 × 2 + 10 + 12 = 24

1 × 2 = 2
10 + 12 = 22
2 + 22 = 24

14 solutions

1 × 10 + 2 + 12 = 24Steps
1. 1 × 10 = 10
2. 2 + 12 = 14
3. 10 + 14 = 24
1 × 12 + 2 + 10 = 24Steps
1. 1 × 12 = 12
2. 2 + 10 = 12
3. 12 + 12 = 24
2 ÷ 1 + 10 + 12 = 24Steps
1. 2 ÷ 1 = 2
2. 10 + 12 = 22
3. 2 + 22 = 24
2 + 10 + 12 ÷ 1 = 24Steps
1. 2 + 10 = 12
2. 12 ÷ 1 = 12
3. 12 + 12 = 24
2 + 12 + 10 ÷ 1 = 24Steps
1. 2 + 12 = 14
2. 10 ÷ 1 = 10
3. 14 + 10 = 24
12 + 1 × (2 + 10) = 24Steps
1. 2 + 10 = 12
2. 1 × 12 = 12
3. 12 + 12 = 24
1 × (12 + 2 + 10) = 24Steps
1. 2 + 10 = 12
2. 12 + 12 = 24
3. 1 × 24 = 24
(12 + 2 + 10) ÷ 1 = 24Steps
1. 2 + 10 = 12
2. 12 + 12 = 24
3. 24 ÷ 1 = 24
12 + (2 + 10) ÷ 1 = 24Steps
1. 2 + 10 = 12
2. 12 ÷ 1 = 12
3. 12 + 12 = 24
10 + 1 × (2 + 12) = 24Steps
1. 2 + 12 = 14
2. 1 × 14 = 14
3. 10 + 14 = 24
10 + (2 + 12) ÷ 1 = 24Steps
1. 2 + 12 = 14
2. 14 ÷ 1 = 14
3. 10 + 14 = 24
2 + 1 × (10 + 12) = 24Steps
1. 10 + 12 = 22
2. 1 × 22 = 22
3. 2 + 22 = 24
2 + (10 + 12) ÷ 1 = 24Steps
1. 10 + 12 = 22
2. 22 ÷ 1 = 22
3. 2 + 22 = 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 2 10 12 make 24?

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

How many solutions does 1 2 10 12 have?

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

How difficult is 1 2 10 12?

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).