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2 4 8 10 = 24: 11 solutions

Difficulty: HardOpen in Solver

2 + 4 + 8 + 10 = 24

  1. 2 + 4 = 6
  2. 8 + 10 = 18
  3. 6 + 18 = 24

11 solutions

  • 4 × 10 − 2 × 8 = 24Steps
    1. 4 × 10 = 40
    2. 2 × 8 = 16
    3. 40 − 16 = 24
  • 2 − 10 + 4 × 8 = 24Steps
    1. 2 − 10 = -8
    2. 4 × 8 = 32
    3. -8 + 32 = 24
  • 4 × (2 × 8 − 10) = 24Steps
    1. 2 × 8 = 16
    2. 16 − 10 = 6
    3. 4 × 6 = 24
  • 2 × 10 − (4 − 8) = 24Steps
    1. 2 × 10 = 20
    2. 4 − 8 = -4
    3. 20 − -4 = 24
  • (8 + 4 × 10) ÷ 2 = 24Steps
    1. 4 × 10 = 40
    2. 8 + 40 = 48
    3. 48 ÷ 2 = 24
  • 4 × (10 − 8 ÷ 2) = 24Steps
    1. 8 ÷ 2 = 4
    2. 10 − 4 = 6
    3. 4 × 6 = 24
  • 2 × (10 + 8 ÷ 4) = 24Steps
    1. 8 ÷ 4 = 2
    2. 10 + 2 = 12
    3. 2 × 12 = 24
  • 4 × (10 − 2) − 8 = 24Steps
    1. 10 − 2 = 8
    2. 4 × 8 = 32
    3. 32 − 8 = 24
  • (10 − 4) ÷ (2 ÷ 8) = 24Steps
    1. 10 − 4 = 6
    2. 2 ÷ 8 = 1/4
    3. 6 ÷ 1/4 = 24
  • (2 + 10) ÷ (4 ÷ 8) = 24Steps
    1. 2 + 10 = 12
    2. 4 ÷ 8 = 1/2
    3. 12 ÷ 1/2 = 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 4 8 10 make 24?

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

How many solutions does 2 4 8 10 have?

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

How difficult is 2 4 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).