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2 6 10 13 = 24: 4 solutions

Difficulty: HardOpen in Solver

6 + 13 + 10 ÷ 2 = 24

  1. 6 + 13 = 19
  2. 10 ÷ 2 = 5
  3. 19 + 5 = 24

4 solutions

  • 10 − 2 × (6 − 13) = 24Steps
    1. 6 − 13 = -7
    2. 2 × -7 = -14
    3. 10 − -14 = 24
  • 10 + 2 × (13 − 6) = 24Steps
    1. 13 − 6 = 7
    2. 2 × 7 = 14
    3. 10 + 14 = 24
  • (2 + 6) × (13 − 10) = 24Steps
    1. 2 + 6 = 8
    2. 13 − 10 = 3
    3. 8 × 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 6 10 13 make 24?

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

How many solutions does 2 6 10 13 have?

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

How difficult is 2 6 10 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).