why the number 1 is neither prime or composite?
69266
One is neither prime nor composite. To be prime, a number must have two positive divisors: the number itself and one. One only has a single positive divisor. One isn't composite because two numbers that aren't one can not multiply to equal one.
491899
Secondly, composite numbers are numbers which are product of two or more prime numbers. All odd integers which are not prime are odd composite numbers. Examples: 9, 15, 21,25,27,33,35……. are all odd composite numbers.
1363588
A number 1 is neither a prime nor a composite number. The prime factorization of a number is the expression of the number as a product of its prime factors.
18433
When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 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, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.
1194046
So by definition, it's going to have 1 and itself and something else. So it's going to be composite. So 2 is prime. Every other even number other than 2 is composite.
467565
The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
92172
One is neither prime nor composite. To be prime, a number must have two positive divisors: the number itself and one. One only has a single positive divisor.
250675
Summary: A prime number has only two factors: 1 and itself. A composite number has more than two factors. ... The prime numbers between 2 and 31 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 since each of these numbers has only two factors, itself and 1.
663708
Even though one (1) is an odd number (an integer that is not divisible by 2), one (1) is NOT a prime number because 1 does not satisfy the definition of a prime number! By definition, a prime number is any positive integer that is divisible by exactly two positive integers --- itself and 1.
1378760
I was surprised because among mathematicians, 1 is universally regarded as non-prime. The confusion begins with this definition a person might give of “prime”: a prime number is a positive whole number that is only divisible by 1 and itself. The number 1 is divisible by 1, and it's divisible by itself.
460451
A composite number has to have more factors then itself (2) and one (1). The only factors of two are one and two. This means two is a prime number and is not composite.
992729
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.
545723
The number one is far more special than a prime! It is the unit (the building block) of the positive integers, hence the only integer which merits its own existence axiom in Peano's axioms. ... It is the only positive integer with exactly one positive divisor. But it is not a prime.
566
A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers.
908334
If the factors of 50 are only 50 and 1, then we know that 50 is a prime number. Otherwise, 50 is a composite number. To explain better, if 50 is only divisible by 1 and 50, then it is a prime number, and if 50 is divisible by more than 50 and 1, then it is a composite number.
35404
Remember, the definition of a prime number says that in order for a positive integer to be prime, it must be divisible by exactly two positive integers; however, 1 is obviously divisible by only one positive integer --- itself; therefore, 1 is NOT a prime number because it does not satisfy the definition of a prime ...
1315898
why 1 is called a unique number. 1 is called a unique number because it is neither a prime number nor a composite number. It has only one factor, i.e, the number itself; and to be a composite number also the number must have two factors, i.e, 1 and the number; and a prime number also must have more than two factors.