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1 4 10 12 = 24: 3 solutions

Difficulty: HardOpen in Solver

10 × 12 ÷ (1 + 4) = 24

  1. 10 × 12 = 120
  2. 1 + 4 = 5
  3. 120 ÷ 5 = 24

3 solutions

  • 4 × (10 − 1) − 12 = 24Steps
    1. 10 − 1 = 9
    2. 4 × 9 = 36
    3. 36 − 12 = 24
  • 4 ÷ (1 − 10 ÷ 12) = 24Steps
    1. 10 ÷ 12 = 5/6
    2. 1 − 5/6 = 1/6
    3. 4 ÷ 1/6 = 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 1 4 10 12 make 24?

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

How many solutions does 1 4 10 12 have?

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

How difficult is 1 4 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).