There are 600 three-digit numbers that are not divisible by 3.
To arrive at this answer, consider the following:
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Total Three-Digit Numbers: The smallest three-digit number is 100, and the largest is 999. Therefore, the total number of three-digit numbers is 999 - 100 + 1 = 900.
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Three-Digit Numbers Divisible by 3: The smallest three-digit number divisible by 3 is 102 (3 x 34), and the largest is 999 (3 x 333). To find the number of three-digit multiples of 3, we calculate: 333 - 34 + 1 = 300.
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Three-Digit Numbers Not Divisible by 3: To find the number of three-digit numbers that are not divisible by 3, subtract the number of multiples of 3 from the total number of three-digit numbers: 900 - 300 = 600.
Therefore, 600 three-digit numbers are not divisible by 3.
