Query about Question 4 from "PrepSwift: NON Factors of Factorials" [3651]

https://www.gregmat.com/quizzes/quiz/prepswift-non-factors-of-factorials (Question 4)


How is the answer True?

Step 1: Prime factor 57 = 3*19

Step 2: Check if 56! has all the prime factors of 57.

56! = 56 x 55 x 54 x 53…3 x 2 x 1

So yes, 56! has both 3 and 19. So if you divide 56! by 57, the result is an integer, and hence, 57 is a factor of 56!