# State whether the following statement is true or false.

All even numbers are composite numbers.

A. True

B. False

Answer

Verified

326.7k+ views

Hint: In order to solve this question we must know the even numbers are the numbers which can be exactly divided by 2 and composite numbers are those which have more factors other than 1.

Complete step-by-step answer:

As we know 2 itself is an even number but it does not have a single factor other than 1 and itself as it is prime. So it is false that all the even numbers are composite numbers. Since composite numbers are those which have factors other than 1 and the number itself, yes, we can say all the even numbers except 2 are composite numbers, since they have factors other than 1 and the number itself.

So, The answer to this question is (B) that is, false.

Note: To solve this problem we need to understand what is even and composite numbers and at the same time we will get to know the prime number. A prime number is a whole number that only has two factors which are itself and one. 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.

Complete step-by-step answer:

As we know 2 itself is an even number but it does not have a single factor other than 1 and itself as it is prime. So it is false that all the even numbers are composite numbers. Since composite numbers are those which have factors other than 1 and the number itself, yes, we can say all the even numbers except 2 are composite numbers, since they have factors other than 1 and the number itself.

So, The answer to this question is (B) that is, false.

Note: To solve this problem we need to understand what is even and composite numbers and at the same time we will get to know the prime number. A prime number is a whole number that only has two factors which are itself and one. 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.

Last updated date: 30th May 2023

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