Skip to main content
24Point

Browse all solutions

1 4 7 8 = 24: 10 solutions

Difficulty: EasyOpen in Solver

8 × (7 − 1 × 4) = 24

  1. 1 × 4 = 4
  2. 7 − 4 = 3
  3. 8 × 3 = 24

10 solutions

  • 4 × 8 − (1 + 7) = 24Steps
    1. 4 × 8 = 32
    2. 1 + 7 = 8
    3. 32 − 8 = 24
  • 4 × (1 + 7) − 8 = 24Steps
    1. 1 + 7 = 8
    2. 4 × 8 = 32
    3. 32 − 8 = 24
  • 8 × (1 × 7 − 4) = 24Steps
    1. 1 × 7 = 7
    2. 7 − 4 = 3
    3. 8 × 3 = 24
  • 1 × 8 × (7 − 4) = 24Steps
    1. 1 × 8 = 8
    2. 7 − 4 = 3
    3. 8 × 3 = 24
  • 8 × (7 − 4 ÷ 1) = 24Steps
    1. 4 ÷ 1 = 4
    2. 7 − 4 = 3
    3. 8 × 3 = 24
  • 8 × (7 ÷ 1 − 4) = 24Steps
    1. 7 ÷ 1 = 7
    2. 7 − 4 = 3
    3. 8 × 3 = 24
  • (1 − 7) × (4 − 8) = 24Steps
    1. 1 − 7 = -6
    2. 4 − 8 = -4
    3. -6 × -4 = 24
  • (7 − 4) ÷ (1 ÷ 8) = 24Steps
    1. 7 − 4 = 3
    2. 1 ÷ 8 = 1/8
    3. 3 ÷ 1/8 = 24
  • (7 − 1) × (8 − 4) = 24Steps
    1. 7 − 1 = 6
    2. 8 − 4 = 4
    3. 6 × 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 7 8 make 24?

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

How many solutions does 1 4 7 8 have?

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

How difficult is 1 4 7 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).