Find the remainder when 1201 × 1203 ×1205 × 1207 is divided by 6.
2024
Find the remainder when 1201 × 1203 ×1205 × 1207 is divided by 6.
- A.
5
- B.
3
- C.
8
- D.
6
Attempted by 52 students.
Show answer & explanation
Correct answer: B
Key idea: reduce each factor modulo 6, then multiply the remainders.
Compute each number modulo 6: 1201 ≡ 1, 1203 ≡ 3, 1205 ≡ 5, 1207 ≡ 1 (since 1200 is divisible by 6).
Multiply the remainders: 1 × 3 × 5 × 1 = 15.
Find the remainder of 15 when divided by 6: 15 ≡ 3 (because 6 × 2 = 12 and 15 − 12 = 3).
Therefore the remainder is 3.