Is 1 a Prime Number? - Fact Check

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In summary, a prime number is a natural number that is only divisible by 1 and itself, with exactly two factors. 1 is not considered a prime number because it only has one factor and including it as a prime number would cause issues in mathematical equations and theories. However, 1 can be divided by any number without leaving a remainder. The purpose of fact checking if 1 is a prime number is to clarify any confusion or misconceptions about prime number definitions and ensure accuracy in research and calculations.
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crystal cascade
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I've heard ppl say it is and it isn't, so is it a prime number? :P
 
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  • #3
yeah, I was kind of leaning towards that it's not a prime number, thanks for confirming :)
 
  • #4
Excluding 1 from the definition of prime number makes it easier to state many theorems in number theory.

For example, every integer can be factored uniquely into a product of (unique) powers of primes. If 1 was called a prime, its exponent could be anything.
 

What is a prime number?

A prime number is a natural number that is only divisible by 1 and itself. In other words, it has exactly two factors.

Is 1 considered a prime number?

No, 1 is not considered a prime number. This is because it only has one factor, which is itself. Prime numbers must have exactly two factors.

Why is 1 not a prime number?

1 is not considered a prime number because it does not meet the definition of a prime number, which requires two factors. Additionally, including 1 as a prime number would cause issues in mathematical equations and theories.

Can 1 be divided by any number?

Yes, 1 can be divided by any number without leaving a remainder. This is because it is the smallest positive integer and is a factor of all other numbers.

What is the purpose of fact checking if 1 is a prime number?

The purpose of fact checking if 1 is a prime number is to clarify any confusion or misconceptions about the definition of prime numbers. It is important for scientists and mathematicians to have a clear understanding of mathematical concepts, and fact checking helps to ensure accuracy and consistency in research and calculations.

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