2007-08-04 20:25:23 · 14 answers · asked by anie89 1 in Science & Mathematics ➔ Mathematics
yes it is
2007-08-04 20:29:16 · answer #1 · answered by forgetfulpcspice 3 · 0⤊ 5⤋
False, because mathematicians say that 1 is not a prime number, it is a unit.
Since mathematicians have decided not to call it a prime, then there is no point in arguing about it. If you have found some definition of "prime number" from which you think you can deduce that 1 is a prime, then it does not at all prove that 1 is a prime. It only proves that some mathematicians are not quite so good at writing English definitions as they are at knowing which numbers are primes and which ones are not.
2007-08-05 07:34:33 · answer #2 · answered by Anonymous · 0⤊ 0⤋
It is neither prime nor composite. It is called a unit.
The idea of a prime is linked to the euclidean algorithm for division. Indeed, it can be defined on more general algebraic structures than simply the positive integers.
In the positive integers 1 is the only unit. In more complex algebraic structures there are more units.
Basically, one wants to be able to write a positive number in a unique way as a product of primes. So if 1 was a prime then the prime decomposition would not be unique because you could have as many 1's as you wanted.
For example, is 4 = 2^2 or is 2 ^ 2 * 1 or is is 2 ^ 2 * 1^2 etc.
It also cannot be composite because it cannot be writen as a product of primes.
2007-08-04 21:14:12 · answer #3 · answered by doctor risk 3 · 3⤊ 0⤋
False
2007-08-04 20:47:11 · answer #4 · answered by Anonymous · 2⤊ 0⤋
A prime number is defined as having only one pair of unique factors, one and itself. Since the only integral factors of 1 are 1 and 1, they are not unique, so 1 is not a prime number.
2007-08-05 00:47:48 · answer #5 · answered by Twiggy 7 · 0⤊ 1⤋
False because 1 is considered as a special number...
2007-08-04 20:32:37 · answer #6 · answered by mara_malaluan 3 · 1⤊ 0⤋
Absolutely true. It is the only number that it can be divided by that results in a whole number. The same is true for any prime number.
2007-08-04 20:31:47 · answer #7 · answered by uncleclover 5 · 0⤊ 5⤋
false
2007-08-04 20:28:39 · answer #8 · answered by iyiogrenci 6 · 2⤊ 0⤋
false
2007-08-04 20:28:22 · answer #9 · answered by superman 4 · 2⤊ 0⤋
if 1 is a prime number, it will be a trivial prime number of no use not importance, so I would not count it as one.
2007-08-04 20:27:58 · answer #10 · answered by vlee1225 6 · 0⤊ 4⤋
false..... 0 and 1are neither prime nor composite..
2007-08-04 20:29:25 · answer #11 · answered by +w+a+n+t+e+d 2 · 1⤊ 0⤋