Which of the following numbers will completely divide 412 + 413 + 414 + 415?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 17.
412 + 413 + 414 + 415
⇒ 412(1 + 41 + 42 + 43)
⇒ 412(1 + 4 + 16 + 64)
⇒ 412 × 85
⇒ 412 × 17 × 5
Thus, it is divisible by 17