SOLUTION: If n= 20! + 17 then n is divisible by? A 15 B 17 C 19 D AB both E BC both Shortcut?

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Question 1036415: If n= 20! + 17 then n is divisible by?
A 15
B 17
C 19
D AB both
E BC both
Shortcut?
Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
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If n= 20! + 17 then n is divisible by?
A) 15
B) 17
C) 19
D) AB both
E) BC both
Shortcut?
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A)  20! is multiple of 15, while 17 is not. Therefore,  n= 20! + 17  is NOT divisible by 15.

B)  20! is multiple of 17, therefore  n= 20! + 17  IS divisible by 17.

C)  20! is multiple of 19, while 17 is not. Therefore,  n= 20! + 17  is NOT divisible by 19.

Now you are in position to make all selections/decisions.