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2 3 10 12 = 24: 7 solutions

Difficulty: HardOpen in Solver

2 × 10 + 12 ÷ 3 = 24

  1. 2 × 10 = 20
  2. 12 ÷ 3 = 4
  3. 20 + 4 = 24

7 solutions

  • 3 × 10 − 12 ÷ 2 = 24Steps
    1. 3 × 10 = 30
    2. 12 ÷ 2 = 6
    3. 30 − 6 = 24
  • 10 × 12 ÷ (2 + 3) = 24Steps
    1. 10 × 12 = 120
    2. 2 + 3 = 5
    3. 120 ÷ 5 = 24
  • 3 × 12 − (2 + 10) = 24Steps
    1. 3 × 12 = 36
    2. 2 + 10 = 12
    3. 36 − 12 = 24
  • 3 × (2 + 10) − 12 = 24Steps
    1. 2 + 10 = 12
    2. 3 × 12 = 36
    3. 36 − 12 = 24
  • 3 × (2 × 10 − 12) = 24Steps
    1. 2 × 10 = 20
    2. 20 − 12 = 8
    3. 3 × 8 = 24
  • 12 × (10 ÷ 2 − 3) = 24Steps
    1. 10 ÷ 2 = 5
    2. 5 − 3 = 2
    3. 12 × 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 3 10 12 make 24?

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

How many solutions does 2 3 10 12 have?

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

How difficult is 2 3 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).