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What is the remainder when 10! is divided by 27?  (Reminder: If n is a positive integer, then n! stands for the product 1*2*3 ... *n)

 Dec 13, 2021
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10!  =  10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

 

27  =  3 x 3 x 3 

 

When you divide 10! by 27 (and cancel out the corresponding 3s) you get:  10 x 8 x 7 x 2 x 5 x 4 x 3 x 1 

with no remainder; remainder = 0.

 Dec 14, 2021

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