Final answer:
The question requires a program fragment to print numbers between 1 and 1000 that are divisible by 6. A loop iterates through each number, uses modulus to check divisibility, and prints each divisible number.
Step-by-step explanation:
A student has asked for a program fragment using loops to print all numbers divisible by 6 between 1 and 1000, inclusive. Here's how you can do this in Python:
for number in range(1, 1001):
if number % 6 == 0:
print(number)
This loop iterates through each number from 1 to 1000 and checks whether each number is divisible by 6 using the modulus operator (%). If the result of the modulus operation (number % 6) is 0, it means the number is divisible by 6, and the program then prints it.