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Can't quite tell what you mean by n3.

1) If that's n3, then:

If n3 is even, it can be expressed as n * n * n = 2 * t (t is a natural number).

You can see that two is a factor of n3, and so it has to be a factor of n, because there is no ther number that could contribute to it. So n is even too.

2) If you mean 3 * n, then:

3 * n = 2 * t, where t is a natural number.

Again, the only number to contribute factor 2 for the right side of equation is n.

So n has to be even too.

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Q: If n3 is even then n is even?
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What does n3 mean in maths?

The statement n3 is ambiguous. I presume you mean n3, which means n cubed or n to the power of 3 (n*n*n). However, n3 (which should really be written as 3n) means n times 3 (n*3).


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