Among any three consecutive integers, one must be divisible by 3 (since every third integer is a multiple of 3).

Sun, 03 May 2026 13:42:32 +0000

Title: Why Among Any Three Consecutive Integers, One Must Be Divisible by 3 Understanding basic number properties can unlock powerful insights into mathematics and problem-solving. One fundamental and elegant fact is that among any three consecutive integers, exactly one must be divisible by 3. This simple rule reflects the structure of whole numbers and offers a gateway to deeper mathematical reasoning. In this article, we’ll explore why every set of three consecutive integers contains a multiple of 3, how this connection to divisibility works, and why this principle holds universally. --- ### The Structure of Consecutive Integers