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A grocer has to place 28,121 carrots into bags, each bag containing the same number of carrots, and using as few bags as possible.

If you think that one big bag will suffice, then feel free to calculate its size!

If we assume that more than one bag is used, how many are required?

Puzzle Copyright © Kevin Stone

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Workings

Hint
28,121 isn't a prime number.

Answer
61 bags.

Reasoning
Each bag contains 461 carrots.

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.

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