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2 6 8 10 = 24: 8 solutions

Difficulty: HardOpen in Solver

2 × 6 × (10 − 8) = 24

  1. 2 × 6 = 12
  2. 10 − 8 = 2
  3. 12 × 2 = 24

8 solutions

  • 6 × (10 + 2 − 8) = 24Steps
    1. 2 − 8 = -6
    2. 10 + -6 = 4
    3. 6 × 4 = 24
  • 2 × (6 + 10) − 8 = 24Steps
    1. 6 + 10 = 16
    2. 2 × 16 = 32
    3. 32 − 8 = 24
  • 8 ÷ (2 − 10 ÷ 6) = 24Steps
    1. 10 ÷ 6 = 5/3
    2. 2 − 5/3 = 1/3
    3. 8 ÷ 1/3 = 24
  • (2 − 8) × (6 − 10) = 24Steps
    1. 2 − 8 = -6
    2. 6 − 10 = -4
    3. -6 × -4 = 24
  • (2 + 10) × (8 − 6) = 24Steps
    1. 2 + 10 = 12
    2. 8 − 6 = 2
    3. 12 × 2 = 24
  • 2 × (10 − (6 − 8)) = 24Steps
    1. 6 − 8 = -2
    2. 10 − -2 = 12
    3. 2 × 12 = 24
  • (8 − 2) × (10 − 6) = 24Steps
    1. 8 − 2 = 6
    2. 10 − 6 = 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 2 6 8 10 make 24?

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

How many solutions does 2 6 8 10 have?

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

How difficult is 2 6 8 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).