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Is a multiple of the prime number 3 is also a prime number?

Answer
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Hint: Here we have asked that a multiple of 3 is also a prime number.Prime numbers are those numbers whose only factors are 1 and the number itself. 3 is a prime number as it can be divided by only 1 and 3. If a number has more than two factors then it is a composite number.

Complete step by step answer:
Numbers can be divided into two types on the basis of factors they have. These two types of numbers are prime numbers and composite numbers. A prime number is a number which has only two factors 1 and the number itself whereas composite numbers number is a number which has more than two factors.

Prime numbers are the numbers which have only two factors 1 and the number itself which means that the number can be divided by itself 1 and itself. All prime numbers are odd numbers except from 2. Every non-prime prime number is a composite number.
For example- 2,3,5,7, etc are some of the prime numbers. The multiple of prime numbers can never be a prime number as they have a factor other than 1 and the number itself or we can say that they can be divided by a number other than 1 and the number itself.

3 is a prime number as it cannot be divided by the number other than 1 and 3. The multiple of 3 can never be a prime number as the number has a factor other than 1 and the number itself or we can say that the number is divided by the number other than 1 and the number itself as the number is a multiple of 3 so it can be divided by 3.

Therefore, the multiple of 3 can never be a prime number; it will be a composite number as it has more than two factors.

Note: The number 2 is only a prime number which is even except 2 all prime numbers are odd numbers. The numbers 0 and 1 are neither considered as prime numbers nor composite numbers. Composite numbers are the numbers which can be obtained by multiplying two smallest positive numbers. For example- 4,6,9,10, are composite numbers as they have more than two factors. There are two types of composite numbers- odd composite numbers and even composite numbers.