SOLUTION: If p is a positive integer, then p(p+1)(p-1) is divisible by ? A)7 B)5 C)4 D)3

SOLUTION: If p is a positive integer, then p(p+1)(p-1) is divisible by ? A)7 B)5 C)4 D)3

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Question 1143903: If p is a positive integer, then p(p+1)(p-1) is divisible by ?
A)7
B)5
C)4
D)3
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.


Then p*(p+1)*(p-1) is divisible by 3   (option D).


But even more strong statement is valid, too :  p*(p+1)*(p-1)  is divisible by 6.

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