Skip to main content
24Point

Browse all solutions

1 4 5 7 = 24: 2 solutions

Difficulty: MediumOpen in Solver

1 − 5 + 4 × 7 = 24

  1. 1 − 5 = -4
  2. 4 × 7 = 28
  3. -4 + 28 = 24

2 solutions

  • 7 × (5 − 1) − 4 = 24Steps
    1. 5 − 1 = 4
    2. 7 × 4 = 28
    3. 28 − 4 = 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 4 5 7 make 24?

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

How many solutions does 1 4 5 7 have?

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

How difficult is 1 4 5 7?

It is rated “Medium” 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).