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2 4 6 9 = 24: 8 solutions

Difficulty: EasyOpen in Solver

4 × 9 − 2 × 6 = 24

  1. 4 × 9 = 36
  2. 2 × 6 = 12
  3. 36 − 12 = 24

8 solutions

  • 6 − 9 × (2 − 4) = 24Steps
    1. 2 − 4 = -2
    2. 9 × -2 = -18
    3. 6 − -18 = 24
  • 2 × 4 × (9 − 6) = 24Steps
    1. 2 × 4 = 8
    2. 9 − 6 = 3
    3. 8 × 3 = 24
  • 6 + 9 ÷ (2 ÷ 4) = 24Steps
    1. 2 ÷ 4 = 1/2
    2. 9 ÷ 1/2 = 18
    3. 6 + 18 = 24
  • 6 + 9 × (4 − 2) = 24Steps
    1. 4 − 2 = 2
    2. 9 × 2 = 18
    3. 6 + 18 = 24
  • 9 × (2 + 4 ÷ 6) = 24Steps
    1. 4 ÷ 6 = 2/3
    2. 2 + 2/3 = 8/3
    3. 9 × 8/3 = 24
  • 4 × (9 − 6 ÷ 2) = 24Steps
    1. 6 ÷ 2 = 3
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 6 ÷ (9 ÷ 4 − 2) = 24Steps
    1. 9 ÷ 4 = 9/4
    2. 9/4 − 2 = 1/4
    3. 6 ÷ 1/4 = 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.

FAQ

Can 2 4 6 9 make 24?

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

How many solutions does 2 4 6 9 have?

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

How difficult is 2 4 6 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).