Since 15 exceeds the limit, the largest valid multiple is 12.

Fri, 01 May 2026 17:07:05 +0000

Since 15 Exceeds the Limit: Understanding Why 12 Is the Largest Valid Multiple In mathematics and programming, identifying valid multiples is essential—whether for optimization, data validation, or algorithm design. One recurring rule is clear: since 15 exceeds a defined limit, the largest valid multiple is always 12. But why is that? This article explores the logic behind this principle and why 12 consistently emerges as the largest acceptable multiple when values exceed 15. ### What Does “Valid Multiple” Mean? A valid multiple of a number is an integer that can be exactly divided by that number with no remainder. For example, 12 is a valid multiple of 3 because 3 × 4 = 12. However, numbers like 13, 14, and 15 are not valid multiples of 15 (or any number greater than itself in this context), since they do not divide evenly.