When the integer n is divided by 8, the remainder is 3. What is the remainder…
2023
When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?
- A.
1
- B.
3
- C.
2
- D.
zero
Attempted by 62 students.
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Correct answer: C
Key idea: express n as 8k + 3 or use modular arithmetic.
Let n = 8k + 3 for some integer k.
Multiply by 6: 6n = 48k + 18 = 8(6k + 2) + 2.
Therefore, dividing 6n by 8 leaves remainder 2.
Alternate quick method: compute 6 × 3 = 18, and 18 ÷ 8 has remainder 2.