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1 5 10 12 = 24: 3 solutions

Difficulty: HardOpen in Solver

1 ÷ 5 × 10 × 12 = 24

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

3 solutions

  • 10 × 12 ÷ (1 × 5) = 24Steps
    1. 10 × 12 = 120
    2. 1 × 5 = 5
    3. 120 ÷ 5 = 24
  • 12 ÷ (1 − 5 ÷ 10) = 24Steps
    1. 5 ÷ 10 = 1/2
    2. 1 − 1/2 = 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 1 5 10 12 make 24?

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

How many solutions does 1 5 10 12 have?

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

How difficult is 1 5 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).