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PrepSwift: NON Factors of Factorials

Question 3 of 5

My concern: I don’t see what I am missing. 34 is clearly one of the correct options. The Explanation isn’t making sense either. 34 is A PART of the 5 smallest positive integers that are not factors of 13!. But the correct answer to the question says 34 is not a part of 5 smallest positive integers that are not factors of 13!. What is the 5th smallest factor then, which would be the last one in the group of 5?

In order to find the smallest positive integers that are not a factor of 13!, we should look at the primes that are larger than 13.

17, 19, 23, 29, and 31 all work.

If we multiply 17 x 2, then we will get the 6th smallest number. Please check each of these and let me know

Totally ignored 23 in my mind. Thanks for the response. Makes sense now.

Before posting, just to validate if I’m right or wrong, even asked Gemini and ChatGPT, and they both said 34 is a correct option too.

Humans >> LLMs.