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1 3 4 7 = 24: 5 solutions

Difficulty: EasyOpen in Solver

4 × 7 − (1 + 3) = 24

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

5 solutions

  • 7 × (1 + 3) − 4 = 24Steps
    1. 1 + 3 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 24
  • 3 × 7 − (1 − 4) = 24Steps
    1. 3 × 7 = 21
    2. 1 − 4 = -3
    3. 21 − -3 = 24
  • 3 − 7 × (1 − 4) = 24Steps
    1. 1 − 4 = -3
    2. 7 × -3 = -21
    3. 3 − -21 = 24
  • 3 + 7 × (4 − 1) = 24Steps
    1. 4 − 1 = 3
    2. 7 × 3 = 21
    3. 3 + 21 = 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 1 3 4 7 make 24?

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

How many solutions does 1 3 4 7 have?

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

How difficult is 1 3 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).