all primes can be divided by themselves e.g 5/5 = 0, 3/3 = 0, so they have a prime factor.
And all composite numbers have at least one prime factor e.g 9/3 = 3
so 1 is kinda weird, is this right?
thanks and merry christmas!
2007-12-26 02:29:56 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1 is not a prime number!!
2007-12-26 02:42:14 · update #1
It makes sense.
Every other number can be broken up into a multiple of primes. Since 1 is not prime and 1 = 1*1, 1 is the only integer that has no prime factors.
2007-12-26 02:49:06 · answer #1 · answered by Dr D 7 · 0⤊ 1⤋
1 is neither a prime number nor a composite number.
Let's see what is a prime number and a composite number.
Prime Number
In mathematics, a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. An infinitude of prime numbers exists, as demonstrated by Euclid in about 300 BC. The first thirty prime numbers are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
Composite Number
A composite number is a positive integer which has a positive divisor other than one or itself. By definition, every integer greater than one is either a prime number or a composite number. The number one is considered to be neither prime nor composite. For example, the integer 14 is a composite number because it can be factored as 2 Ã 7.
The first 15 composite numbers are:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, and 25.
1 is neither a prime number nor a composite number because 1 just have ONE factor: 1
Merry Christmas!!!
2007-12-26 02:47:32 · answer #2 · answered by An ESL Learner 7 · 0⤊ 1⤋
Yes, the number 1 has no prime factor, and every other positive number has at least one prime factor.
In those mathematical topics where this unique feature of 1 matters, we avoid the weirdness by referring to it as a "unit", as distinct from a number. The rest of the time, we are quite happy referring to it as a number. It just depends on what we are doing.
2007-12-27 03:38:50 · answer #3 · answered by bh8153 7 · 0⤊ 0⤋
1 3 5 7 13 17 19 etc are all prime numbers.
A prime number is a number that can only be divided by itself with no remainder.
1/1=1 3/3=1 5/5=1
2007-12-26 02:39:01 · answer #4 · answered by Jair D 2 · 0⤊ 2⤋
Why not?
1/1 = 1, Right?
and also
5/5 = 1
3/3 = 1
2007-12-26 02:38:30 · answer #5 · answered by Anonymous · 0⤊ 1⤋
first of all 5/5 and 3/3 equals 1 not 0. And I guess it is.
2007-12-26 04:49:14 · answer #6 · answered by Mike D 1 · 0⤊ 1⤋
The integer 1 is coprime to every positive integer, including itself. This is because it has no prime factors
2007-12-26 02:38:35 · answer #7 · answered by Bob Williams 2 · 0⤊ 1⤋