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4 5 8 10 = 24: 4 solutions

Difficulty: HardOpen in Solver

10 × (4 − 8 ÷ 5) = 24

  1. 8 ÷ 5 = 8/5
  2. 4 − 8/5 = 12/5
  3. 10 × 12/5 = 24

4 solutions

  • 5 × (4 + 8 ÷ 10) = 24Steps
    1. 8 ÷ 10 = 4/5
    2. 4 + 4/5 = 24/5
    3. 5 × 24/5 = 24
  • 4 × (8 − 10 ÷ 5) = 24Steps
    1. 10 ÷ 5 = 2
    2. 8 − 2 = 6
    3. 4 × 6 = 24
  • (4 + 8) ÷ (5 ÷ 10) = 24Steps
    1. 4 + 8 = 12
    2. 5 ÷ 10 = 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 4 5 8 10 make 24?

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

How many solutions does 4 5 8 10 have?

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

How difficult is 4 5 8 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).