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1 4 5 6 = 24: 2 solutions

Difficulty: ExpertOpen in Solver

6 ÷ (5 ÷ 4 − 1) = 24

  1. 5 ÷ 4 = 5/4
  2. 5/4 − 1 = 1/4
  3. 6 ÷ 1/4 = 24

2 solutions

  • 4 ÷ (1 − 5 ÷ 6) = 24Steps
    1. 5 ÷ 6 = 5/6
    2. 1 − 5/6 = 1/6
    3. 4 ÷ 1/6 = 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.

  • This hand needs fraction intermediates: the classic shape is a ÷ (b − c ÷ d) — build a fraction first, then multiply it back to 24.

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FAQ

Can 1 4 5 6 make 24?

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

How many solutions does 1 4 5 6 have?

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

How difficult is 1 4 5 6?

It is rated “Expert” 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).