The smallest 5-digit number exactly divisible by 254 is 10,160.
To find this, we can follow these steps:
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Identify the smallest 5-digit number: The smallest 5-digit number is 10,000.
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Divide by the divisor: Divide 10,000 by 254. This yields approximately 39.37.
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Round up to the next whole number: Since we need a whole number to ensure exact divisibility, round 39.37 up to 40.
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Multiply by the divisor: Multiply 40 by 254. 40 * 254 = 10,160.
Therefore, 10,160 is the smallest 5-digit number that is exactly divisible by 254.