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If n3 is even then n is even? - Answers
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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If n3 is even then n is even? - Answers
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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If n3 is even then n is even? - Answers
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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