English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

What is the smallest prime number? Is it 1 or 2?

2007-10-19 09:10:22 · 18 answers · asked by Anonymous in Science & Mathematics Mathematics

18 answers

The prime number is a number that has 2 different factors 1 and itself
so 1 is not prime because it has only one factor
let's take it this way : what r the factors of the number 1 ?
the answer will be 1 and 1 that is 1 only
so 1 doesn't apply the definition of the prime number.
2 is the smallest prime number

2007-10-19 09:27:32 · answer #1 · answered by maya4f 2 · 1 0

2

2007-10-19 09:12:52 · answer #2 · answered by Cris Y 2 · 0 0

2

2007-10-19 09:12:39 · answer #3 · answered by Chelsea Y 3 · 0 0

2

2007-10-19 09:12:09 · answer #4 · answered by Anonymous · 0 0

2

2007-10-19 09:18:24 · answer #5 · answered by carla 2 · 1 1

Until the 19th century, most mathematicians considered the number 1 a prime, and there is still a large body of mathematical work that is valid despite labeling 1 a prime, such as the work of Stern and Zeisel. Henri Lebesgue is said to be the last professional mathematician to call 1 prime. The change in label occurred so that it can be said that “each number has a unique factorization into primes”

If 1 is prime then every other number could have any number of 1's as factors making it not unique. Since every single number can be divided by 1 nothing would be prime.

2007-10-19 09:16:12 · answer #6 · answered by Barkley Hound 7 · 2 2

2 is the smallest one, and the only even one. 1 isn't prime, because prime means only divisible by 1 and itself(2 numbers).

2007-10-19 09:15:27 · answer #7 · answered by alwaysremembertwentytwo 3 · 1 0

That's 2. 1 is a unit, not a prime number.
By definition, a prime number must be greater
than 1.

2007-10-19 12:16:38 · answer #8 · answered by steiner1745 7 · 0 1

2 as one is unique... and including it as a prime would cause problems such as making nonsense of the Fundamental Theorem of Arithmetic which states: any positive integer >1 may be expressed uniquely (without respect to order) as a product of primes... if one were a prime we'd have 6=3x2 6=3x2x1 6=3x2x1x1 all prime factorizations of 6.

Just definition, one is neither prime nor composite.

2007-10-19 09:19:00 · answer #9 · answered by Peter H 2 · 2 1

2.

2007-10-19 09:12:04 · answer #10 · answered by spoof ♫♪ 7 · 0 1

fedest.com, questions and answers