What is the smallest prime number?
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Can negative numbers be a prime number?
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no! primes are integers greater than one with no positive divisors except one and itself
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I have seen the use of negative primes before though
Well the definition of a prime number is that it has only two factors, 1 and itself. All negatives have 4 factors, 1, -1, n, and |n|. Unless you mean like -1
You should mention why zero is not prime to your solution.
Some people will choose the answer 1 at first glance.. But the reality is the number 1 has just only 1 divisor.. 1 = 1 ∗ 1 , So, 1 is neither prime nor composite.. But the number 2 has 2 divisors, ( 2 = 2 ∗ 1 ), which is the main characteristic of a prime number. Thus, 2 is the Smallest Prime Number in the world being an even!
The definition I was given in school was that a prime number could only be divided by 1 and itself. With this definition 1 would be prime. Was the definition changed or were my teachers wrong?
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No, it's just the more standard one, while your teacher's definition made it easier for you to understand.
You have to mention why zero is not prime to your solution.
All numbers that a must be a factor of zero.(It means that a ∣ 0 ).
One only has one factor, 1, so 1 is not prime.
Two has only 2 factors, and so it is the smallest prime.
3 has 2 factors, but it is not the smallest, so it cannot be answered.
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2 is the smallest prime number as 2 = 2 × 1 which has 2 common factors
(why not 1) as 1 = 1 × 1 which has only one factor 1 so its not a prime
(why not 3) as 3 is also a prime number but greater than 2 so its not the correct choice