
Is a multiple of the prime number is also a prime number?
Answer
408.3k+ views
Hint: Here we have asked that a multiple of is also a prime number.Prime numbers are those numbers whose only factors are and the number itself. is a prime number as it can be divided by only and . 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 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 and the number itself which means that the number can be divided by itself and itself. All prime numbers are odd numbers except from . Every non-prime prime number is a composite number.
For example- 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 and the number itself or we can say that they can be divided by a number other than and the number itself.
is a prime number as it cannot be divided by the number other than and . The multiple of can never be a prime number as the number has a factor other than and the number itself or we can say that the number is divided by the number other than and the number itself as the number is a multiple of so it can be divided by .
Therefore, the multiple of can never be a prime number; it will be a composite number as it has more than two factors.
Note: The number is only a prime number which is even except all prime numbers are odd numbers. The numbers and 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- are composite numbers as they have more than two factors. There are two types of composite numbers- odd composite numbers and even composite numbers.
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
Prime numbers are the numbers which have only two factors
For example-
Therefore, the multiple of
Note: The number
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