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1 5 6 7 = 24: 2 solutions

Difficulty: MediumOpen in Solver

1 − 7 + 5 × 6 = 24

  1. 1 − 7 = -6
  2. 5 × 6 = 30
  3. -6 + 30 = 24

2 solutions

  • 5 × (7 − 1) − 6 = 24Steps
    1. 7 − 1 = 6
    2. 5 × 6 = 30
    3. 30 − 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.

Related hands

FAQ

Can 1 5 6 7 make 24?

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

How many solutions does 1 5 6 7 have?

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

How difficult is 1 5 6 7?

It is rated “Medium” 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).