Skip to main content
24Point

Browse all solutions

2 3 7 8 = 24: 5 solutions

Difficulty: EasyOpen in Solver

8 ÷ (7 ÷ 3 − 2) = 24

  1. 7 ÷ 3 = 7/3
  2. 7/3 − 2 = 1/3
  3. 8 ÷ 1/3 = 24

5 solutions

  • (2 + 7) ÷ (3 ÷ 8) = 24Steps
    1. 2 + 7 = 9
    2. 3 ÷ 8 = 3/8
    3. 9 ÷ 3/8 = 24
  • (2 − 8) × (3 − 7) = 24Steps
    1. 2 − 8 = -6
    2. 3 − 7 = -4
    3. -6 × -4 = 24
  • 2 × (8 − (3 − 7)) = 24Steps
    1. 3 − 7 = -4
    2. 8 − -4 = 12
    3. 2 × 12 = 24
  • (7 − 3) × (8 − 2) = 24Steps
    1. 7 − 3 = 4
    2. 8 − 2 = 6
    3. 4 × 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 3 7 8 make 24?

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

How many solutions does 2 3 7 8 have?

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

How difficult is 2 3 7 8?

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).