What is the smallest two-digit positive integer that is one more than a multiple of 8?

Sat, 02 May 2026 21:54:17 +0000

**What is the smallest two-digit positive integer that is one more than a multiple of 8?** In a world where numbers shape routines and routines influence digital discovery, curiosity about simple mathematical patterns is more common than you might think. The question “What is the smallest two-digit positive integer that is one more than a multiple of 8?” opens a quiet but meaningful conversation about logic, systems, and even digital platforms experimenting with subtle number patterns. Users browsing careful, intentional topics like usability and system design often stumble on this question—not expecting a topic tied to math, but discovering unexpected relevance. What makes this integer notable is its position in a series of numbers that define predictability: multiples of 8 form a foundation in modular arithmetic. The smallest two-digit number satisfying this rule is **17**, because 16 (a multiple of 8) plus one equals 17, forming 8×2 + 1. This positions 17 at the threshold between single-digit simplicity and two-digit functionality, making it a practical and symbolic marker in numeracy. ### Why This Question is Gaining Attention in the US In the United States, interest in clear, efficient systems is growing—whether in personal finance, app design, or educational tools. The search for “smallest two-digit positive integer that is one more than a multiple of 8?” reflects a broader curiosity about order in everyday data. Users exploring logic puzzles, algorithm basics, or even coding challenges often arrive here organically, drawn by the simplicity and puzzle-like nature of the query. Additionally, digital platforms using pattern recognition influence how mobile users scan for reliable, educational content—this topic fits naturally within such discovery flows. ### How This Number Works: A Clear Explanation To be precise, we’re looking for a number *n* such that: n ≡ 1 (mod 8) and 10 ≤ n < 100.