Skip to main content
24Point

Browse all solutions

2 4 6 7 = 24: 5 solutions

Difficulty: EasyOpen in Solver

2 − 6 + 4 × 7 = 24

  1. 2 − 6 = -4
  2. 4 × 7 = 28
  3. -4 + 28 = 24

5 solutions

  • 2 × 7 + 4 + 6 = 24Steps
    1. 2 × 7 = 14
    2. 4 + 6 = 10
    3. 14 + 10 = 24
  • 7 × (6 − 2) − 4 = 24Steps
    1. 6 − 2 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 24
  • 6 ÷ (2 − 7 ÷ 4) = 24Steps
    1. 7 ÷ 4 = 7/4
    2. 2 − 7/4 = 1/4
    3. 6 ÷ 1/4 = 24
  • (2 + 6) × (7 − 4) = 24Steps
    1. 2 + 6 = 8
    2. 7 − 4 = 3
    3. 8 × 3 = 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 7 make 24?

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

How many solutions does 2 4 6 7 have?

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

How difficult is 2 4 6 7?

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).