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2 3 7 11 = 24: 4 solutions

Difficulty: HardOpen in Solver

2 × 3 + 7 + 11 = 24

  1. 2 × 3 = 6
  2. 7 + 11 = 18
  3. 6 + 18 = 24

4 solutions

  • 7 × (2 + 3) − 11 = 24Steps
    1. 2 + 3 = 5
    2. 7 × 5 = 35
    3. 35 − 11 = 24
  • 2 × 3 × (11 − 7) = 24Steps
    1. 2 × 3 = 6
    2. 11 − 7 = 4
    3. 6 × 4 = 24
  • 3 × 11 − (2 + 7) = 24Steps
    1. 3 × 11 = 33
    2. 2 + 7 = 9
    3. 33 − 9 = 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 11 make 24?

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

How many solutions does 2 3 7 11 have?

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

How difficult is 2 3 7 11?

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).