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2 2 8 10 = 24: 6 solutions

Difficulty: HardOpen in Solver

2 × 10 + 8 ÷ 2 = 24

  1. 2 × 10 = 20
  2. 8 ÷ 2 = 4
  3. 20 + 4 = 24

6 solutions

  • 2 × 8 − (2 − 10) = 24Steps
    1. 2 × 8 = 16
    2. 2 − 10 = -8
    3. 16 − -8 = 24
  • 8 − 2 × (2 − 10) = 24Steps
    1. 2 − 10 = -8
    2. 2 × -8 = -16
    3. 8 − -16 = 24
  • 2 × (2 × 10 − 8) = 24Steps
    1. 2 × 10 = 20
    2. 20 − 8 = 12
    3. 2 × 12 = 24
  • 8 + 2 × (10 − 2) = 24Steps
    1. 10 − 2 = 8
    2. 2 × 8 = 16
    3. 8 + 16 = 24
  • 8 × (10 ÷ 2 − 2) = 24Steps
    1. 10 ÷ 2 = 5
    2. 5 − 2 = 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 2 8 10 make 24?

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

How many solutions does 2 2 8 10 have?

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

How difficult is 2 2 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).