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1 4 4 8 = 24: 7 solutions

Difficulty: EasyOpen in Solver

8 + 4 × 1 × 4 = 24

  1. 1 × 4 = 4
  2. 4 × 4 = 16
  3. 8 + 16 = 24

7 solutions

  • 1 × 8 + 4 × 4 = 24Steps
    1. 1 × 8 = 8
    2. 4 × 4 = 16
    3. 8 + 16 = 24
  • 4 × 4 + 8 ÷ 1 = 24Steps
    1. 4 × 4 = 16
    2. 8 ÷ 1 = 8
    3. 16 + 8 = 24
  • 8 + 4 ÷ (1 ÷ 4) = 24Steps
    1. 1 ÷ 4 = 1/4
    2. 4 ÷ 1/4 = 16
    3. 8 + 16 = 24
  • 1 × (8 + 4 × 4) = 24Steps
    1. 4 × 4 = 16
    2. 8 + 16 = 24
    3. 1 × 24 = 24
  • (8 + 4 × 4) ÷ 1 = 24Steps
    1. 4 × 4 = 16
    2. 8 + 16 = 24
    3. 24 ÷ 1 = 24
  • 4 × (8 − 1) − 4 = 24Steps
    1. 8 − 1 = 7
    2. 4 × 7 = 28
    3. 28 − 4 = 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 4 4 8 make 24?

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

How many solutions does 1 4 4 8 have?

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

How difficult is 1 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).