Skip to main content
24Point

Browse all solutions

2 3 4 13 = 24: 4 solutions

Difficulty: HardOpen in Solver

2 × 4 + 3 + 13 = 24

  1. 2 × 4 = 8
  2. 3 + 13 = 16
  3. 8 + 16 = 24

4 solutions

  • 2 × (13 + 3 − 4) = 24Steps
    1. 3 − 4 = -1
    2. 13 + -1 = 12
    3. 2 × 12 = 24
  • 4 − 2 × (3 − 13) = 24Steps
    1. 3 − 13 = -10
    2. 2 × -10 = -20
    3. 4 − -20 = 24
  • 4 + 2 × (13 − 3) = 24Steps
    1. 13 − 3 = 10
    2. 2 × 10 = 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 2 3 4 13 make 24?

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

How many solutions does 2 3 4 13 have?

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

How difficult is 2 3 4 13?

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).