2025 · Q48
What is the number of factors of 24³ - 16³ - 8³ ?
Elementary MathematicsNumber System
- A33
- B30
- C28
- D24
Explanation
24³ − 16³ − 8³ = 8³(3³ − 2³ − 1) = 512 × 18 = 9216 = 2¹⁰ × 3². The number of factors is (10+1)(2+1) = 33, option (a).
What is the number of factors of 24³ - 16³ - 8³ ?
Explanation
24³ − 16³ − 8³ = 8³(3³ − 2³ − 1) = 512 × 18 = 9216 = 2¹⁰ × 3². The number of factors is (10+1)(2+1) = 33, option (a).