Skip to main content
24Point

Browse all solutions

1 3 4 9 = 24: 9 solutions

Difficulty: EasyOpen in Solver

1 − 4 + 3 × 9 = 24

  1. 1 − 4 = -3
  2. 3 × 9 = 27
  3. -3 + 27 = 24

9 solutions

  • 4 × (9 − 1 × 3) = 24Steps
    1. 1 × 3 = 3
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 9 + 3 × (1 + 4) = 24Steps
    1. 1 + 4 = 5
    2. 3 × 5 = 15
    3. 9 + 15 = 24
  • 1 × 4 × (9 − 3) = 24Steps
    1. 1 × 4 = 4
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 4 × (1 × 9 − 3) = 24Steps
    1. 1 × 9 = 9
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 4 × (9 − 3 ÷ 1) = 24Steps
    1. 3 ÷ 1 = 3
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • 9 × (4 − 1) − 3 = 24Steps
    1. 4 − 1 = 3
    2. 9 × 3 = 27
    3. 27 − 3 = 24
  • 4 × (9 ÷ 1 − 3) = 24Steps
    1. 9 ÷ 1 = 9
    2. 9 − 3 = 6
    3. 4 × 6 = 24
  • (9 − 3) ÷ (1 ÷ 4) = 24Steps
    1. 9 − 3 = 6
    2. 1 ÷ 4 = 1/4
    3. 6 ÷ 1/4 = 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 3 4 9 make 24?

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

How many solutions does 1 3 4 9 have?

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

How difficult is 1 3 4 9?

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).