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2 4 6 12 = 24: 11 solutions

Difficulty: HardOpen in Solver

2 + 4 + 6 + 12 = 24

  1. 2 + 4 = 6
  2. 6 + 12 = 18
  3. 6 + 18 = 24

11 solutions

  • 6 × (2 + 4) − 12 = 24Steps
    1. 2 + 4 = 6
    2. 6 × 6 = 36
    3. 36 − 12 = 24
  • 12 − 6 × (2 − 4) = 24Steps
    1. 2 − 4 = -2
    2. 6 × -2 = -12
    3. 12 − -12 = 24
  • 6 × (12 − 2 × 4) = 24Steps
    1. 2 × 4 = 8
    2. 12 − 8 = 4
    3. 6 × 4 = 24
  • 12 × (2 × 4 − 6) = 24Steps
    1. 2 × 4 = 8
    2. 8 − 6 = 2
    3. 12 × 2 = 24
  • 12 + 6 ÷ (2 ÷ 4) = 24Steps
    1. 2 ÷ 4 = 1/2
    2. 6 ÷ 1/2 = 12
    3. 12 + 12 = 24
  • 12 + 6 × (4 − 2) = 24Steps
    1. 4 − 2 = 2
    2. 6 × 2 = 12
    3. 12 + 12 = 24
  • 2 × (4 × 6 − 12) = 24Steps
    1. 4 × 6 = 24
    2. 24 − 12 = 12
    3. 2 × 12 = 24
  • 12 ÷ (2 − 6 ÷ 4) = 24Steps
    1. 6 ÷ 4 = 3/2
    2. 2 − 3/2 = 1/2
    3. 12 ÷ 1/2 = 24
  • (2 + 6) ÷ (4 ÷ 12) = 24Steps
    1. 2 + 6 = 8
    2. 4 ÷ 12 = 1/3
    3. 8 ÷ 1/3 = 24
  • (12 − 4) ÷ (2 ÷ 6) = 24Steps
    1. 12 − 4 = 8
    2. 2 ÷ 6 = 1/3
    3. 8 ÷ 1/3 = 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.

Related hands

FAQ

Can 2 4 6 12 make 24?

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

How many solutions does 2 4 6 12 have?

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

How difficult is 2 4 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).