## Puzzle Details

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.

How many bags are used?

Puzzle Copyright © Kevin Stone

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A box for your workings out:

**Hint:** 28,121 isn't a prime number.

**Answer:** 61 bags.

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

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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