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Let us call a number simple if it is made up of all the same digit. For example 777 and 22,222 are simple, but 552 and 18,883 are not.
Find all of the numbers between one and one million that are both simple and prime. |
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One million is a large number, but here’s a number that’s far larger. The number “2014 factorial” (denoted 2014!) is the product of all the whole numbers between 2014 and 1. In other words:
2014! = 2014 × 2013 × 2012 × · · · × 3 × 2 × 1 How many zeros are there at the end of 2014 factorial? |
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Follow-up ChallengesWhat is the largest perfect square that is a factor of the following number:
1! × 2! × 3! × 4! × 5! × 6! × 7! × 8! × 9! × 10! |
Response VideosResponse to Part 1 from Allie's students.
Devin's response to Part 1.
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