The smallest 4-digit number exactly divisible by 13 is 1001.
To find this number, we can follow these steps:
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Identify the smallest 4-digit number: The smallest 4-digit number is 1000.
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Divide the smallest 4-digit number by 13: 1000 / 13 = 76.923...
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Round up to the nearest whole number: Since we need a whole number to multiply by 13 to get an exact multiple, we round 76.923... up to 77.
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Multiply the rounded number by 13: 77 * 13 = 1001
Therefore, 1001 is the smallest 4-digit number that is exactly divisible by 13.