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2 3 6 12 = 24: 12 solutions

Difficulty: HardOpen in Solver

2 × 3 + 6 + 12 = 24

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

12 solutions

  • 6 × 2 × 3 − 12 = 24Steps
    1. 2 × 3 = 6
    2. 6 × 6 = 36
    3. 36 − 12 = 24
  • 3 × 12 − 2 × 6 = 24Steps
    1. 3 × 12 = 36
    2. 2 × 6 = 12
    3. 36 − 12 = 24
  • 3 × 6 + 12 ÷ 2 = 24Steps
    1. 3 × 6 = 18
    2. 12 ÷ 2 = 6
    3. 18 + 6 = 24
  • 6 + 12 ÷ (2 ÷ 3) = 24Steps
    1. 2 ÷ 3 = 2/3
    2. 12 ÷ 2/3 = 18
    3. 6 + 18 = 24
  • 12 − 3 × (2 − 6) = 24Steps
    1. 2 − 6 = -4
    2. 3 × -4 = -12
    3. 12 − -12 = 24
  • 3 × (12 + 2 − 6) = 24Steps
    1. 2 − 6 = -4
    2. 12 + -4 = 8
    3. 3 × 8 = 24
  • 2 × (3 + 12) − 6 = 24Steps
    1. 3 + 12 = 15
    2. 2 × 15 = 30
    3. 30 − 6 = 24
  • 6 − 2 × (3 − 12) = 24Steps
    1. 3 − 12 = -9
    2. 2 × -9 = -18
    3. 6 − -18 = 24
  • 12 + 3 × (6 − 2) = 24Steps
    1. 6 − 2 = 4
    2. 3 × 4 = 12
    3. 12 + 12 = 24
  • 3 × (12 − 2) − 6 = 24Steps
    1. 12 − 2 = 10
    2. 3 × 10 = 30
    3. 30 − 6 = 24
  • 6 + 2 × (12 − 3) = 24Steps
    1. 12 − 3 = 9
    2. 2 × 9 = 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 2 3 6 12 make 24?

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

How many solutions does 2 3 6 12 have?

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

How difficult is 2 3 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).