Skip to main content
24Point

Browse all solutions

1 2 5 8 = 24: 10 solutions

Difficulty: EasyOpen in Solver

8 × (5 − 1 × 2) = 24

  1. 1 × 2 = 2
  2. 5 − 2 = 3
  3. 8 × 3 = 24

10 solutions

  • 8 × (1 × 5 − 2) = 24Steps
    1. 1 × 5 = 5
    2. 5 − 2 = 3
    3. 8 × 3 = 24
  • 1 × 8 × (5 − 2) = 24Steps
    1. 1 × 8 = 8
    2. 5 − 2 = 3
    3. 8 × 3 = 24
  • 8 × (5 − 2 ÷ 1) = 24Steps
    1. 2 ÷ 1 = 2
    2. 5 − 2 = 3
    3. 8 × 3 = 24
  • 8 × (5 ÷ 1 − 2) = 24Steps
    1. 5 ÷ 1 = 5
    2. 5 − 2 = 3
    3. 8 × 3 = 24
  • (1 + 5) ÷ (2 ÷ 8) = 24Steps
    1. 1 + 5 = 6
    2. 2 ÷ 8 = 1/4
    3. 6 ÷ 1/4 = 24
  • (1 − 5) × (2 − 8) = 24Steps
    1. 1 − 5 = -4
    2. 2 − 8 = -6
    3. -4 × -6 = 24
  • 2 × (8 − (1 − 5)) = 24Steps
    1. 1 − 5 = -4
    2. 8 − -4 = 12
    3. 2 × 12 = 24
  • (5 − 2) ÷ (1 ÷ 8) = 24Steps
    1. 5 − 2 = 3
    2. 1 ÷ 8 = 1/8
    3. 3 ÷ 1/8 = 24
  • (5 − 1) × (8 − 2) = 24Steps
    1. 5 − 1 = 4
    2. 8 − 2 = 6
    3. 4 × 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 2 5 8 make 24?

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

How many solutions does 1 2 5 8 have?

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

How difficult is 1 2 5 8?

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).