Multiple choice

Is n³ - n divisible by 3?

  1. Yes

  2. No

  3. Can't say

  4. Not enough information
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

n³ - n = n (n² - 1) = n (n + 1) (n - 1) So n³ - n can be expressed as a product of three consecutive numbers, then at least one of the three consecutive numbers should be a multiple of 3. Hence n³ - n can be divisible by 3.

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