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2 8 12 12 = 24: 6 solutions

Difficulty: HardOpen in Solver

12 × 12 ÷ (8 − 2) = 24

  1. 12 × 12 = 144
  2. 8 − 2 = 6
  3. 144 ÷ 6 = 24

6 solutions

  • 12 × (8 − 12 ÷ 2) = 24Steps
    1. 12 ÷ 2 = 6
    2. 8 − 6 = 2
    3. 12 × 2 = 24
  • 12 ÷ (2 − 12 ÷ 8) = 24Steps
    1. 12 ÷ 8 = 3/2
    2. 2 − 3/2 = 1/2
    3. 12 ÷ 1/2 = 24
  • 8 × (2 + 12 ÷ 12) = 24Steps
    1. 12 ÷ 12 = 1
    2. 2 + 1 = 3
    3. 8 × 3 = 24
  • 12 × (12 − (2 + 8)) = 24Steps
    1. 2 + 8 = 10
    2. 12 − 10 = 2
    3. 12 × 2 = 24
  • (12 − 8) ÷ (2 ÷ 12) = 24Steps
    1. 12 − 8 = 4
    2. 2 ÷ 12 = 1/6
    3. 4 ÷ 1/6 = 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 2 8 12 12 make 24?

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

How many solutions does 2 8 12 12 have?

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

How difficult is 2 8 12 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).