3 4 11 13 = 24: 13 solutions

Difficulty: HardOpen in Solver

3 × 11 + 4 − 13 = 24

3 × 11 = 33
4 − 13 = -9
33 + -9 = 24

13 solutions

13 − 11 × (3 − 4) = 24Steps
1. 3 − 4 = -1
2. 11 × -1 = -11
3. 13 − -11 = 24
13 − 11 ÷ (3 − 4) = 24Steps
1. 3 − 4 = -1
2. 11 ÷ -1 = -11
3. 13 − -11 = 24
11 − 13 × (3 − 4) = 24Steps
1. 3 − 4 = -1
2. 13 × -1 = -13
3. 11 − -13 = 24
11 − 13 ÷ (3 − 4) = 24Steps
1. 3 − 4 = -1
2. 13 ÷ -1 = -13
3. 11 − -13 = 24
3 × 4 × (13 − 11) = 24Steps
1. 3 × 4 = 12
2. 13 − 11 = 2
3. 12 × 2 = 24
3 × 13 − (4 + 11) = 24Steps
1. 3 × 13 = 39
2. 4 + 11 = 15
3. 39 − 15 = 24
13 + 11 × (4 − 3) = 24Steps
1. 4 − 3 = 1
2. 11 × 1 = 11
3. 13 + 11 = 24
13 + 11 ÷ (4 − 3) = 24Steps
1. 4 − 3 = 1
2. 11 ÷ 1 = 11
3. 13 + 11 = 24
11 + 13 × (4 − 3) = 24Steps
1. 4 − 3 = 1
2. 13 × 1 = 13
3. 11 + 13 = 24
11 + 13 ÷ (4 − 3) = 24Steps
1. 4 − 3 = 1
2. 13 ÷ 1 = 13
3. 11 + 13 = 24
(4 − 3) × (11 + 13) = 24Steps
1. 4 − 3 = 1
2. 11 + 13 = 24
3. 1 × 24 = 24
(11 + 13) ÷ (4 − 3) = 24Steps
1. 11 + 13 = 24
2. 4 − 3 = 1
3. 24 ÷ 1 = 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.

FAQ

Can 3 4 11 13 make 24?

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

How many solutions does 3 4 11 13 have?

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

How difficult is 3 4 11 13?

It is rated “Hard” 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).