Answer:
The number is divisible by 8 is 5068.
Explanation:
A number is divisible by 8 if the last three digits of the number form a multiple of 8. In this case, the last three digits of the 4-digit number must be formed using the digits 0, 5, 6, and 8 exactly once.
The only multiples of 8 that can be formed from the digits 0, 5, 6, and 8 are 056, 160, 168, and 560. The last three digits of the number must be one of these four possibilities.
To form the smallest 4-digit number, we can use the smallest possible multiple of 8, which is 056. The first digit can be either 8 or 5, but choosing 5 will give us a smaller number. Therefore, the smallest 4-digit number that can be formed using the digits 0, 5, 6, and 8 exactly once so that the number is divisible by 8 is 5068.