Among any three consecutive integers, one must be divisible by 2 (since every second integer is even).

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

# Among Any Three Consecutive Integers, One Must Be Divisible by 2 When examining any sequence of three consecutive integers, a simple yet powerful pattern emerges in number theory: among any three consecutive integers, exactly one must be divisible by 2, meaning it is even. This insight reveals a fundamental property of integers and helps reinforce foundational concepts in divisibility. ## Understanding Consecutive Integers Three consecutive integers can be expressed algebraically as:
n, n+1, n+2, where n is any integer. These numbers follow each other in sequence with no gaps. For example, if n = 5, the integers are 5, 6, and 7.