Skip to main content
24Point

Browse all solutions

1 5 7 8 = 24: 2 solutions

Difficulty: MediumOpen in Solver

8 × (7 + 1 − 5) = 24

  1. 1 − 5 = -4
  2. 7 + -4 = 3
  3. 8 × 3 = 24

2 solutions

  • (1 + 7) × (8 − 5) = 24Steps
    1. 1 + 7 = 8
    2. 8 − 5 = 3
    3. 8 × 3 = 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 7 8 make 24?

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

How many solutions does 1 5 7 8 have?

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

How difficult is 1 5 7 8?

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).