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3 6 6 6 = 24: 5 solutions

Difficulty: EasyOpen in Solver

6 − 6 × (3 − 6) = 24

  1. 3 − 6 = -3
  2. 6 × -3 = -18
  3. 6 − -18 = 24

5 solutions

  • 6 + 6 × (6 − 3) = 24Steps
    1. 6 − 3 = 3
    2. 6 × 3 = 18
    3. 6 + 18 = 24
  • 6 × (6 − 6 ÷ 3) = 24Steps
    1. 6 ÷ 3 = 2
    2. 6 − 2 = 4
    3. 6 × 4 = 24
  • 6 × (3 + 6 ÷ 6) = 24Steps
    1. 6 ÷ 6 = 1
    2. 3 + 1 = 4
    3. 6 × 4 = 24
  • (6 + 6) ÷ (3 ÷ 6) = 24Steps
    1. 6 + 6 = 12
    2. 3 ÷ 6 = 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 3 6 6 6 make 24?

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

How many solutions does 3 6 6 6 have?

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

How difficult is 3 6 6 6?

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).