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2 3 7 12 = 24: 4 solutions

Difficulty: HardOpen in Solver

2 + 3 + 7 + 12 = 24

  1. 2 + 3 = 5
  2. 7 + 12 = 19
  3. 5 + 19 = 24

4 solutions

  • 12 ÷ (7 ÷ 2 − 3) = 24Steps
    1. 7 ÷ 2 = 7/2
    2. 7/2 − 3 = 1/2
    3. 12 ÷ 1/2 = 24
  • 12 × (7 − (2 + 3)) = 24Steps
    1. 2 + 3 = 5
    2. 7 − 5 = 2
    3. 12 × 2 = 24
  • (7 − 3) ÷ (2 ÷ 12) = 24Steps
    1. 7 − 3 = 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 3 7 12 make 24?

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

How many solutions does 2 3 7 12 have?

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

How difficult is 2 3 7 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).