To find the number of 4-digit numbers divisible by 4, we determine the smallest and largest 4-digit numbers divisible by 4.

Fri, 17 Apr 2026 23:37:32 +0000

**To find the number of 4-digit numbers divisible by 4, we determine the smallest and largest 4-digit numbers divisible by 4.**
This question might seem simple, but it reveals a pattern central to number theory—and reveals unexpected clarity in everyday digital systems. With mobile devices in over 90% of U.S. internet activity, understanding how many numbers in the 1000–9999 range follow a specific divisibility rule helps inspire data literacy and logical thinking. The smallest 4-digit number is 1000, and the largest is 9999. To find how many among them are divisible by 4, we apply a clean mathematical framework—no guesswork, no ambiguity. It starts with dividing the boundaries by 4 and rounding appropriately. **Why this matters in today’s digital landscape**
More people are exploring patterns in data for personal finance, coding education, and algorithm awareness. Knowing how to count multiples of 4 helps with forecasting trends—especially in applications involving automation, number grids, or digital interfaces where predictable sequences are key. To find the number of 4-digit numbers divisible by 4, begin by identifying the smallest multiple of 4 that is at least 1000. Dividing 1000 by 4 gives exactly 250, so 1000 itself is divisible by 4. Next, the largest 4-digit number, 9999, divided by 4 yields 2499.75. Rounding down gives 2499, so 4 × 2499 = 9996—the true largest multiple of 4 under 10,000.