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1 2 4 10 = 24: 9 solutions

Difficulty: HardOpen in Solver

4 + 10 × 1 × 2 = 24

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

9 solutions

  • 1 × 4 + 2 × 10 = 24Steps
    1. 1 × 4 = 4
    2. 2 × 10 = 20
    3. 4 + 20 = 24
  • 2 × 10 + 4 ÷ 1 = 24Steps
    1. 2 × 10 = 20
    2. 4 ÷ 1 = 4
    3. 20 + 4 = 24
  • 4 + 10 ÷ (1 ÷ 2) = 24Steps
    1. 1 ÷ 2 = 1/2
    2. 10 ÷ 1/2 = 20
    3. 4 + 20 = 24
  • 1 × (4 + 2 × 10) = 24Steps
    1. 2 × 10 = 20
    2. 4 + 20 = 24
    3. 1 × 24 = 24
  • (4 + 2 × 10) ÷ 1 = 24Steps
    1. 2 × 10 = 20
    2. 4 + 20 = 24
    3. 24 ÷ 1 = 24
  • 4 × (1 + 10 ÷ 2) = 24Steps
    1. 10 ÷ 2 = 5
    2. 1 + 5 = 6
    3. 4 × 6 = 24
  • (1 − 4) × (2 − 10) = 24Steps
    1. 1 − 4 = -3
    2. 2 − 10 = -8
    3. -3 × -8 = 24
  • (4 − 1) × (10 − 2) = 24Steps
    1. 4 − 1 = 3
    2. 10 − 2 = 8
    3. 3 × 8 = 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 2 4 10 make 24?

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

How many solutions does 1 2 4 10 have?

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

How difficult is 1 2 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).