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2 4 5 6 = 24: 6 solutions

Difficulty: EasyOpen in Solver

5 × 6 − (2 + 4) = 24

  1. 5 × 6 = 30
  2. 2 + 4 = 6
  3. 30 − 6 = 24

6 solutions

  • 5 × (2 + 4) − 6 = 24Steps
    1. 2 + 4 = 6
    2. 5 × 6 = 30
    3. 30 − 6 = 24
  • 4 × 5 − (2 − 6) = 24Steps
    1. 4 × 5 = 20
    2. 2 − 6 = -4
    3. 20 − -4 = 24
  • 4 − 5 × (2 − 6) = 24Steps
    1. 2 − 6 = -4
    2. 5 × -4 = -20
    3. 4 − -20 = 24
  • 6 + 2 × (4 + 5) = 24Steps
    1. 4 + 5 = 9
    2. 2 × 9 = 18
    3. 6 + 18 = 24
  • 4 + 5 × (6 − 2) = 24Steps
    1. 6 − 2 = 4
    2. 5 × 4 = 20
    3. 4 + 20 = 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 2 4 5 6 make 24?

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

How many solutions does 2 4 5 6 have?

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

How difficult is 2 4 5 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).