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1 3 4 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

4 − 10 × (1 − 3) = 24

  1. 1 − 3 = -2
  2. 10 × -2 = -20
  3. 4 − -20 = 24

4 solutions

  • 4 + 10 × (3 − 1) = 24Steps
    1. 3 − 1 = 2
    2. 10 × 2 = 20
    3. 4 + 20 = 24
  • (1 + 3) × (10 − 4) = 24Steps
    1. 1 + 3 = 4
    2. 10 − 4 = 6
    3. 4 × 6 = 24
  • 4 × (10 − (1 + 3)) = 24Steps
    1. 1 + 3 = 4
    2. 10 − 4 = 6
    3. 4 × 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 3 4 10 make 24?

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

How many solutions does 1 3 4 10 have?

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

How difficult is 1 3 4 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).