Question: Find the smallest positive integer that is a multiple of 11 and ends with the digit 7 in base 10.

Mon, 04 May 2026 03:50:14 +0000

**Find the smallest positive integer that is a multiple of 11 and ends with the digit 7 in base 10** Curiosity is quietly shaping digital searches these days—people are increasingly drawn to puzzles that blend logic with everyday experience. One such query gaining quiet traction in the U.S.: *What is the smallest positive integer that is both a multiple of 11 and ends with the digit 7?* This question isn’t just academic—it reflects a broader pattern of seeking elegant patterns in numbers, especially in an era skeptical of randomness. The intersection of divisibility and digit patterns reveals a fascinating mathematical challenge. While 11’s divisibility rules offer a quick test (“alternating sum divisible by 11”), pairing that with a fixed ending digit introduces constraints—yet still leaves room for precise discovery. ---