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Which of the following statement is correct?
1. 1 is the smallest prime number
2. The sum of two prime number is always even number
3. H.C.F of the two prime number is always 1
4. The multiple of two prime number is prime number

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Correct Answer - Option 3 : H.C.F of the two prime number is always 1

Concept used:

Prime number: A number that can be divided exactly by 1 and itself. for example 2, 3, 5 etc

1 is not a prime number

2 is only even prime number

2 is the smallest even prime number and 3 is the smallest odd prime number

Solution:

2 and 3 is the prime number and the sum is 5 and it is not an even number

∴ Option 2 is incorrect

The H.C.F of 2 and 3 is 1 and the H.C.F of the two prime number is always 1

∴ Option 3 is correct

The multiple of 2 and 3 is 6 which is not the prime number

∴ Option 4 is incorrect

From the above observation,

The correct answer is option 3

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