Question

State weather given statement is true or false? 1 is a prime number. justify.

Answer 1

1 is not prime number ....

because 1 has one positive divisor ....so it isn't prime number

hope these will help you.......

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Answer 2

1 is a prime number ,the statement cannot be concluded

Definition:

• A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
• A prime number is a whole number greater than 1 whose only factors are 1 and itself.A factor is a whole number that can be divided evenly into another number.
• A prime numberis a positive integert hat has exactly two distinct positive integral divisior.

Explanation:

• As per the definition, prime number should be divided by 1 and the number itself.
• 1 is divided by 1,and the number itself is also 1 ,so according to this we can say that 1 is a prime number.
• But the modern definition of prime number says that,a number which are exactly divided by two factors are said to be prime.
• If we consider this definition,1 is divided only by one factor that is 1,from these we can say that 1 is not a prime number.

Therefore,from my point of view "1 is a prime number" the statement cannot be concluded.