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3 6 8 9 = 24: 4 solutions

Difficulty: EasyOpen in Solver

6 × (9 + 3 − 8) = 24

  1. 3 − 8 = -5
  2. 9 + -5 = 4
  3. 6 × 4 = 24

4 solutions

  • 8 × 9 ÷ (6 − 3) = 24Steps
    1. 8 × 9 = 72
    2. 6 − 3 = 3
    3. 72 ÷ 3 = 24
  • 8 × (6 − 9 ÷ 3) = 24Steps
    1. 9 ÷ 3 = 3
    2. 6 − 3 = 3
    3. 8 × 3 = 24
  • (3 + 9) × (8 − 6) = 24Steps
    1. 3 + 9 = 12
    2. 8 − 6 = 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 6 8 9 make 24?

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

How many solutions does 3 6 8 9 have?

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

How difficult is 3 6 8 9?

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).