Skip to main content
24Point

Browse all solutions

2 2 4 7 = 24: 6 solutions

Difficulty: EasyOpen in Solver

4 × 7 − 2 × 2 = 24

  1. 4 × 7 = 28
  2. 2 × 2 = 4
  3. 28 − 4 = 24

6 solutions

  • 7 × 2 × 2 − 4 = 24Steps
    1. 2 × 2 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 24
  • 4 × 7 − (2 + 2) = 24Steps
    1. 4 × 7 = 28
    2. 2 + 2 = 4
    3. 28 − 4 = 24
  • 7 × (2 + 2) − 4 = 24Steps
    1. 2 + 2 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 24
  • 4 × (7 − 2 ÷ 2) = 24Steps
    1. 2 ÷ 2 = 1
    2. 7 − 1 = 6
    3. 4 × 6 = 24
  • 2 + 2 × (4 + 7) = 24Steps
    1. 4 + 7 = 11
    2. 2 × 11 = 22
    3. 2 + 22 = 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 2 4 7 make 24?

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

How many solutions does 2 2 4 7 have?

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

How difficult is 2 2 4 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).