If N is a positive integer, is (N^3 - N) divisible by 4?

1) n = 2k + 1, where K is an integer.

2) n^2 + n is divisible by 6

We can rephrase the statement as such:

Is: n(n^2 - 1) divisible by 4?

Is N(N-1)(N+1) divisible by 4?

Is the product of three consecutive integers divisible by 4?

Final rephrasing:

Is N an odd integer or is N a multiple of 4?

Evaluate the statements:

1) n = 2k + 1, where K is an integer.

2K + 1 will give us an odd integer for N. (YES)

The problem I had was with plugging in 0 for K.

2(0) + 1 = 1 0x1x2 = 0 (Is 0 divisible by 4? This was my biggest problem because it was the only example that wasn't stated in the Number Properties book!)

Highlight line below for answer.

OA: A