The smallest 5-digit number divisible by 35 is 10010.
Here's how to find the solution:
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Identify the smallest 5-digit number: The smallest 5-digit number is 10000.
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Divide by the target divisor: Divide 10000 by 35. The result is 285 with a remainder of 25.
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Determine the difference: To find the next multiple of 35, subtract the remainder from 35: 35 - 25 = 10.
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Add the difference to the smallest 5-digit number: Add this difference to 10000: 10000 + 10 = 10010.
Therefore, 10010 is the smallest 5-digit number that is divisible by 35.