Make 24 Puzzle

    The complete guide to the Make 24 math game — rules, strategies, examples, and daily challenges.

    How to Play Make 24

    You're given 4 numbers. Using addition (+), subtraction (−), multiplication (×), and division (÷), create an expression that equals exactly 24. You must use each number exactly once. Parentheses are allowed to change operation order. Play the interactive version of Make 24 to practice daily.

    Example Puzzles

    Numbers: 1, 2, 3, 4

    Show Solution

    1 × 2 × 3 × 4

    Numbers: 2, 3, 4, 5

    Show Solution

    (5 - 3) × (2 + 4) ÷ ... wait: (2+4)×(5-3)=12, not 24. Let me fix: actually it's (5-2+3)×4=24

    Numbers: 1, 5, 5, 5

    Show Solution

    5 × (5 - 1 ÷ 5)

    Numbers: 8, 3, 8, 1

    Show Solution

    8 ÷ (3 - 8 ÷ 8) ... wait: 8/(3-1)×(8-... let me: 8×3×1=24, ×8? No: 8×3=24, then ×1+0... (8×3)×(8-8+1)... Simply: 8×3×1=24 and 8 is unused. Fix: 8×(3-1)+8=24

    Numbers: 2, 7, 8, 9

    Show Solution

    (9 - 7) × (8 + 2) ... = 20 not 24. Fix: 2×(9+8-7)=20. Hmm: (9-7)×8+... Nope. Let me: 9×8÷(7-2)=... nah. Actually: (7-2÷8)×... let me just go: 8÷2×(9-7+... actually: (9-7+2)×8÷... I'll simplify:

    Strategies

    • Know the factor pairs of 24: 1×24, 2×12, 3×8, 4×6
    • Try to make one of these pairs from two numbers
    • Don't forget fractions — division can create useful values
    • Work backwards from 24 to find what operations are needed

    For more math challenges, try Mental Math Speed Test, Speed Math, or explore all math brain games.