Skip to main content
24Point

Browse all solutions

3 4 8 11 = 24: 4 solutions

Difficulty: HardOpen in Solver

3 − 11 + 4 × 8 = 24

  1. 3 − 11 = -8
  2. 4 × 8 = 32
  3. -8 + 32 = 24

4 solutions

  • 4 × (11 + 3 − 8) = 24Steps
    1. 3 − 8 = -5
    2. 11 + -5 = 6
    3. 4 × 6 = 24
  • 4 × (11 − 3) − 8 = 24Steps
    1. 11 − 3 = 8
    2. 4 × 8 = 32
    3. 32 − 8 = 24
  • 8 ÷ (4 − 11 ÷ 3) = 24Steps
    1. 11 ÷ 3 = 11/3
    2. 4 − 11/3 = 1/3
    3. 8 ÷ 1/3 = 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 3 4 8 11 make 24?

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

How many solutions does 3 4 8 11 have?

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

How difficult is 3 4 8 11?

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).