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4 4 4 12 = 24: 3 solutions

Difficulty: HardOpen in Solver

4 + 4 + 4 + 12 = 24

  1. 4 + 4 = 8
  2. 4 + 12 = 16
  3. 8 + 16 = 24

3 solutions

  • 4 × 4 − (4 − 12) = 24Steps
    1. 4 × 4 = 16
    2. 4 − 12 = -8
    3. 16 − -8 = 24
  • (4 + 4) ÷ (4 ÷ 12) = 24Steps
    1. 4 + 4 = 8
    2. 4 ÷ 12 = 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 4 4 4 12 make 24?

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

How many solutions does 4 4 4 12 have?

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

How difficult is 4 4 4 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).