The smallest 4 digit number exactly divisible by 7 is 1001.
To find this, we can start with the smallest 4-digit number, which is 1000. We then need to determine the smallest multiple of 7 that is greater than or equal to 1000.
We can do this by dividing 1000 by 7:
1000 / 7 = 142.857...
This means that 7 * 142 = 994, which is a 3-digit number. The next multiple of 7 will be a 4-digit number. Therefore we multiply 7 by 143:
7 * 143 = 1001
Therefore, 1001 is the smallest 4-digit number exactly divisible by 7.
