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6 8 10 12 = 24: 6 solutions

Difficulty: HardOpen in Solver

10 + 12 − (6 − 8) = 24

  1. 10 + 12 = 22
  2. 6 − 8 = -2
  3. 22 − -2 = 24

6 solutions

  • 6 × 8 ÷ (12 − 10) = 24Steps
    1. 6 × 8 = 48
    2. 12 − 10 = 2
    3. 48 ÷ 2 = 24
  • 12 − 6 × (8 − 10) = 24Steps
    1. 8 − 10 = -2
    2. 6 × -2 = -12
    3. 12 − -12 = 24
  • 8 × 12 ÷ (10 − 6) = 24Steps
    1. 8 × 12 = 96
    2. 10 − 6 = 4
    3. 96 ÷ 4 = 24
  • 12 + 6 × (10 − 8) = 24Steps
    1. 10 − 8 = 2
    2. 6 × 2 = 12
    3. 12 + 12 = 24
  • (6 + 10) ÷ (8 ÷ 12) = 24Steps
    1. 6 + 10 = 16
    2. 8 ÷ 12 = 2/3
    3. 16 ÷ 2/3 = 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 6 8 10 12 make 24?

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

How many solutions does 6 8 10 12 have?

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

How difficult is 6 8 10 12?

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).