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3 4 5 8 = 24: 7 solutions

Difficulty: EasyOpen in Solver

4 × 8 − (3 + 5) = 24

  1. 4 × 8 = 32
  2. 3 + 5 = 8
  3. 32 − 8 = 24

7 solutions

  • 4 × (3 + 5) − 8 = 24Steps
    1. 3 + 5 = 8
    2. 4 × 8 = 32
    3. 32 − 8 = 24
  • 4 × (8 + 3 − 5) = 24Steps
    1. 3 − 5 = -2
    2. 8 + -2 = 6
    3. 4 × 6 = 24
  • 3 × 8 × (5 − 4) = 24Steps
    1. 3 × 8 = 24
    2. 5 − 4 = 1
    3. 24 × 1 = 24
  • 3 × 8 ÷ (5 − 4) = 24Steps
    1. 3 × 8 = 24
    2. 5 − 4 = 1
    3. 24 ÷ 1 = 24
  • (4 + 5) ÷ (3 ÷ 8) = 24Steps
    1. 4 + 5 = 9
    2. 3 ÷ 8 = 3/8
    3. 9 ÷ 3/8 = 24
  • (4 + 8) × (5 − 3) = 24Steps
    1. 4 + 8 = 12
    2. 5 − 3 = 2
    3. 12 × 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 3 4 5 8 make 24?

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

How many solutions does 3 4 5 8 have?

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

How difficult is 3 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).