**Answer:** 61 bags.

Each containing 461 carrots. If you think that one big bag will suffice, then feel free to calculate its size and then email me!

How do we find the correct answer? An easy way is to keep dividing 28,121 by the prime numbers in sequence until one works.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61.