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1 6 6 12 = 24: 17 solutions

Difficulty: HardOpen in Solver

1 × 6 + 6 + 12 = 24

  1. 1 × 6 = 6
  2. 6 + 12 = 18
  3. 6 + 18 = 24

17 solutions

  • 6 × 1 × 6 − 12 = 24Steps
    1. 1 × 6 = 6
    2. 6 × 6 = 36
    3. 36 − 12 = 24
  • 1 × 12 + 6 + 6 = 24Steps
    1. 1 × 12 = 12
    2. 6 + 6 = 12
    3. 12 + 12 = 24
  • 6 × 6 − 1 × 12 = 24Steps
    1. 6 × 6 = 36
    2. 1 × 12 = 12
    3. 36 − 12 = 24
  • 6 ÷ 1 + 6 + 12 = 24Steps
    1. 6 ÷ 1 = 6
    2. 6 + 12 = 18
    3. 6 + 18 = 24
  • 6 + 6 + 12 ÷ 1 = 24Steps
    1. 6 + 6 = 12
    2. 12 ÷ 1 = 12
    3. 12 + 12 = 24
  • 6 × 6 − 12 ÷ 1 = 24Steps
    1. 6 × 6 = 36
    2. 12 ÷ 1 = 12
    3. 36 − 12 = 24
  • 6 ÷ (1 ÷ 6) − 12 = 24Steps
    1. 1 ÷ 6 = 1/6
    2. 6 ÷ 1/6 = 36
    3. 36 − 12 = 24
  • 12 + 1 × (6 + 6) = 24Steps
    1. 6 + 6 = 12
    2. 1 × 12 = 12
    3. 12 + 12 = 24
  • 1 × (12 + 6 + 6) = 24Steps
    1. 6 + 6 = 12
    2. 12 + 12 = 24
    3. 1 × 24 = 24
  • (12 + 6 + 6) ÷ 1 = 24Steps
    1. 6 + 6 = 12
    2. 12 + 12 = 24
    3. 24 ÷ 1 = 24
  • 12 + (6 + 6) ÷ 1 = 24Steps
    1. 6 + 6 = 12
    2. 12 ÷ 1 = 12
    3. 12 + 12 = 24
  • 1 × (6 × 6 − 12) = 24Steps
    1. 6 × 6 = 36
    2. 36 − 12 = 24
    3. 1 × 24 = 24
  • (6 × 6 − 12) ÷ 1 = 24Steps
    1. 6 × 6 = 36
    2. 36 − 12 = 24
    3. 24 ÷ 1 = 24
  • 12 × (1 + 6 ÷ 6) = 24Steps
    1. 6 ÷ 6 = 1
    2. 1 + 1 = 2
    3. 12 × 2 = 24
  • 6 + 1 × (6 + 12) = 24Steps
    1. 6 + 12 = 18
    2. 1 × 18 = 18
    3. 6 + 18 = 24
  • 6 + (6 + 12) ÷ 1 = 24Steps
    1. 6 + 12 = 18
    2. 18 ÷ 1 = 18
    3. 6 + 18 = 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 6 12 make 24?

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

How many solutions does 1 6 6 12 have?

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

How difficult is 1 6 6 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).