What will be the remainder when 87 * 137 is divided by 17 ?
2024
What will be the remainder when 87 * 137 is divided by 17 ?
- A.
0
- B.
1
- C.
3
- D.
2
Attempted by 40 students.
Show answer & explanation
Correct answer: D
Method: Use remainders modulo 17.
Find remainder of 87 divided by 17: 87 = 17 × 5 + 2, so remainder is 2.
Find remainder of 137 divided by 17: 137 = 17 × 8 + 1, so remainder is 1.
Multiply the remainders: 2 × 1 = 2. Therefore, the remainder when 87 × 137 is divided by 17 is 2.
Answer: 2