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2 4 6 13 = 24: 5 solutions

Difficulty: HardOpen in Solver

2 × 13 + 4 − 6 = 24

  1. 2 × 13 = 26
  2. 4 − 6 = -2
  3. 26 + -2 = 24

5 solutions

  • 6 − 2 × (4 − 13) = 24Steps
    1. 4 − 13 = -9
    2. 2 × -9 = -18
    3. 6 − -18 = 24
  • 13 × (6 − 4) − 2 = 24Steps
    1. 6 − 4 = 2
    2. 13 × 2 = 26
    3. 26 − 2 = 24
  • 6 + 2 × (13 − 4) = 24Steps
    1. 13 − 4 = 9
    2. 2 × 9 = 18
    3. 6 + 18 = 24
  • 4 ÷ (13 ÷ 6 − 2) = 24Steps
    1. 13 ÷ 6 = 13/6
    2. 13/6 − 2 = 1/6
    3. 4 ÷ 1/6 = 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 4 6 13 make 24?

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

How many solutions does 2 4 6 13 have?

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

How difficult is 2 4 6 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).