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5 6 7 13 = 24: 4 solutions

Difficulty: HardOpen in Solver

5 × 6 + 7 − 13 = 24

  1. 5 × 6 = 30
  2. 7 − 13 = -6
  3. 30 + -6 = 24

4 solutions

  • 6 × 7 − (5 + 13) = 24Steps
    1. 6 × 7 = 42
    2. 5 + 13 = 18
    3. 42 − 18 = 24
  • 5 × (13 − 7) − 6 = 24Steps
    1. 13 − 7 = 6
    2. 5 × 6 = 30
    3. 30 − 6 = 24
  • (7 + 13) ÷ (5 ÷ 6) = 24Steps
    1. 7 + 13 = 20
    2. 5 ÷ 6 = 5/6
    3. 20 ÷ 5/6 = 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 5 6 7 13 make 24?

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

How many solutions does 5 6 7 13 have?

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

How difficult is 5 6 7 13?

It is rated “Hard” 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).