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2 3 9 13 = 24: 3 solutions

Difficulty: HardOpen in Solver

2 × 3 × (13 − 9) = 24

  1. 2 × 3 = 6
  2. 13 − 9 = 4
  3. 6 × 4 = 24

3 solutions

  • (9 + 3 × 13) ÷ 2 = 24Steps
    1. 3 × 13 = 39
    2. 9 + 39 = 48
    3. 48 ÷ 2 = 24
  • 3 × (13 − 2) − 9 = 24Steps
    1. 13 − 2 = 11
    2. 3 × 11 = 33
    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 9 13 make 24?

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

How many solutions does 2 3 9 13 have?

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

How difficult is 2 3 9 13?

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).