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# Why can a prime number not be abundant?

Updated: 9/22/2022

Wiki User

13y ago

Prime numbers are abundant, in fact there is an infinite about of prime numbers. There is just and infinitely greater amount of non-prime numbers.

Wiki User

13y ago

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Q: Why can a prime number not be abundant?
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### Can an Abundant number be a prime number?

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All prime numbers are going to be deficient, because remember that a prime number's only factors are one and itself. To find if its deficient or abundant, you'd add up all of its factors, excluding itself. If its only other factor beside itself is one, that's obviously less than the number, and therefore it will be deficient.

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If a number is not abundant it cannot be made abundant!

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