Multiple of 3?
Number Theory
Level
2
Is it true that the difference between any integer and its cube is always either 0 or a multiple of 3?
Yes
No
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1 solution
n 3 − n = n ( n − 1 ) ( n + 1 ) . One of ( n − 1 ) , n , ( n + 1 ) will be a multiple of 3, so the answer is yes.