Question 12 of 36beginner💡 UnderstandShort Answer2 marks

We see that 2 is a prime and also an even number. Is there any other even prime?

Correct Answer

No, there is no other even prime number besides 2.

Reasoning: Prime numbers have exactly two factors: 1 and the number itself. The number 2 is prime because its only factors are 1 and 2. All other even numbers are divisible by 2. These numbers have at least three factors: 1, 2, and the number itself. ∴ Any other even number is composite, not prime.

Exercise: Figure it Out (Section 3) | Q: 1 | (Page Page 8)
For More Understanding

Explanation

The chapter explains that prime numbers have exactly two factors: 1 and the number itself. The number 2 is prime because its only factors are 1 and 2. Any other even number greater than 2 is divisible by 2, so it has at least 1, 2, and itself as factors, making it composite.

Solution Steps

  1. Prime numbers have exactly two factors: 1 and the number itself.

  2. The number 2 is prime because its only factors are 1 and 2.

  3. All other even numbers are divisible by 2.

  4. These numbers have at least three factors: 1, 2, and the number itself.

  5. Therefore, any other even number is composite, not prime.

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