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4 4 5 8 = 24: 6 solutions

Difficulty: EasyOpen in Solver

5 × 8 − 4 × 4 = 24

  1. 5 × 8 = 40
  2. 4 × 4 = 16
  3. 40 − 16 = 24

6 solutions

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

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

How many solutions does 4 4 5 8 have?

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

How difficult is 4 4 5 8?

It is rated “Easy” 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).