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1 2 6 10 = 24: 5 solutions

Difficulty: HardOpen in Solver

10 × (1 + 2) − 6 = 24

  1. 1 + 2 = 3
  2. 10 × 3 = 30
  3. 30 − 6 = 24

5 solutions

  • 10 + 2 × (1 + 6) = 24Steps
    1. 1 + 6 = 7
    2. 2 × 7 = 14
    3. 10 + 14 = 24
  • 6 − 2 × (1 − 10) = 24Steps
    1. 1 − 10 = -9
    2. 2 × -9 = -18
    3. 6 − -18 = 24
  • 6 + 2 × (10 − 1) = 24Steps
    1. 10 − 1 = 9
    2. 2 × 9 = 18
    3. 6 + 18 = 24
  • 6 × (10 ÷ 2 − 1) = 24Steps
    1. 10 ÷ 2 = 5
    2. 5 − 1 = 4
    3. 6 × 4 = 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 1 2 6 10 make 24?

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

How many solutions does 1 2 6 10 have?

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

How difficult is 1 2 6 10?

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).