Is 1 a prime number, yes or no?
Answers
The meaning of a number being measured as prime is that its only factors are 1 and the number itself.
The meaning of a number not being prime or a composite number is that it must have factors other than 1 and the number itself
If (1×1×1×…n times) is always equal to 1
1 cannot be disintegrated into any factors a and b where a and b are natural numbers
Hence 1 is not composite - is true
But that does not mean it can be prime.
As per the definition of prime, the number should be articulated as the product of 1 and the number of itself and there are no other factors that can be used
But here 1 even when articulated as a product of two terms, it is (1×1) where it is multiplying itself, which does not comply with the definition of prime.
To conclude, 1 is neither a prime nor a composite.
well,1 is neither prime nor composite
reason-:
if we think 1 as a prime
are we correct?
the definition of a prime number is-
a positive integer that has exactly two positive divisors
but what about 1?
1 have only one positive divisor[one itself]
as it is not a prime number then is it composite?
the definition of a composite number is -
a number that have more than two factors
but considering one as composite is obviously wrong
as 1 have only one factor that is 1 itself
therefore
1 is neither prime nor composite