The smallest 6-digit number exactly divisible by 201 is —

To find the smallest 6-digit number exactly divisible by 201, we can follow these steps:

Step-by-Step Analysis
Identify the smallest 6-digit number: The smallest 6-digit number is 100,000.

Divide by the divisor: Divide 100,000 by 201 to find the remainder.

100,000 / 201 = 497 with a remainder.

497 * 201 = 99,847.

The next multiple of 201 is 99,847 + 201 = 100,048. Wait, let us re-calculate carefully.

100,000 / 201 = 497.51.

The next whole number quotient is 498.

498 * 201 = 100,098.

Conclusion: The smallest 6-digit number divisible by 201 is 100,098.