2017 · Q8
What is the remainder when the number (4444)⁴⁴⁴⁴ is divided by 9 ?
Elementary MathematicsNumber System
- A4
- B6
- C7
- D8
Explanation
4444 has digit sum 16, so 4444 ≡ 7 (mod 9). Since 7³ = 343 ≡ 1 (mod 9) and 4444 = 3 × 1481 + 1, we get 4444⁴⁴⁴⁴ ≡ 7 (mod 9). The remainder is 7: option C.