Skip to main content
24Point

Browse all solutions

3 4 4 8 = 24: 8 solutions

Difficulty: EasyOpen in Solver

3 × 4 + 4 + 8 = 24

  1. 3 × 4 = 12
  2. 4 + 8 = 12
  3. 12 + 12 = 24

8 solutions

  • 3 × 8 + 4 − 4 = 24Steps
    1. 3 × 8 = 24
    2. 4 − 4 = 0
    3. 24 + 0 = 24
  • 8 × (3 + 4 − 4) = 24Steps
    1. 3 + 4 = 7
    2. 7 − 4 = 3
    3. 8 × 3 = 24
  • 3 × 4 ÷ (4 ÷ 8) = 24Steps
    1. 3 × 4 = 12
    2. 4 ÷ 8 = 1/2
    3. 12 ÷ 1/2 = 24
  • 4 − 4 × (3 − 8) = 24Steps
    1. 3 − 8 = -5
    2. 4 × -5 = -20
    3. 4 − -20 = 24
  • 3 × (8 + 4 − 4) = 24Steps
    1. 4 − 4 = 0
    2. 8 + 0 = 8
    3. 3 × 8 = 24
  • 3 × (4 × 4 − 8) = 24Steps
    1. 4 × 4 = 16
    2. 16 − 8 = 8
    3. 3 × 8 = 24
  • 4 + 4 × (8 − 3) = 24Steps
    1. 8 − 3 = 5
    2. 4 × 5 = 20
    3. 4 + 20 = 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 4 8 make 24?

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

How many solutions does 3 4 4 8 have?

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

How difficult is 3 4 4 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).