Question 929631: List the first 8 multiples of 14 to prove that the square of any even natural number is divisible by 4.
Answer by CubeyThePenguin(3113) (Show Source):
You can put this solution on YOUR website! First 8 multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112
I don't see why this is relevant, but here's why the square of even natural number is divisible by 4.
Every even number is of the form 2n, where n is an integer. Square it to get (2n)^2 = 4n^2, which is a multiple of 4.
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