How to identify prime number?
Answer
645.6k+ views
Hint: Prime number will always have two factors. One of the factors is $1$ and the other factor is itself the number. This is the only way we can identify the prime number.
Complete step by step answer:
A prime number will always be greater than $1$ and also will be a numeral. It can be divided properly only by two numbers and the numbers are one and the prime number itself.
The prime number will have only two factors always but multiply can be more .
Let us take an example $'17'$ which is a prime number
Factor of $17 = \,1\,{\text{and}}\,{\text{17}}$
Multiple of $17 = 17,34,51...$
So multiples can be more than one of a prime number.
Additional information:
Prime numbers have some interesting facts also. Some of them are –
1. The only even prime number is $2$.
2. There are only two consecutive prime numbers, they are $2$ and $3$ .
3. $6n + 1$ or $6n - 1$ is the way to represent a prime number except $2$ and $3$ where $n$ is the natural number.
4. Every even integer greater than $2$ can be expressed as the sum of two primes.
5. It is the probability that a given, randomly chosen number $n$ is prime and is inversely proportional to its number of digits, or to the logarithm of $n$.
Note:
When working with prime numbers, we should know the difference between factors and multiplies. We can easily be confused by these two terms, but factors are the numbers that can be divided evenly into the given number, while multiples are the results of multiplying that number by another.
Complete step by step answer:
A prime number will always be greater than $1$ and also will be a numeral. It can be divided properly only by two numbers and the numbers are one and the prime number itself.
The prime number will have only two factors always but multiply can be more .
Let us take an example $'17'$ which is a prime number
Factor of $17 = \,1\,{\text{and}}\,{\text{17}}$
Multiple of $17 = 17,34,51...$
So multiples can be more than one of a prime number.
Additional information:
Prime numbers have some interesting facts also. Some of them are –
1. The only even prime number is $2$.
2. There are only two consecutive prime numbers, they are $2$ and $3$ .
3. $6n + 1$ or $6n - 1$ is the way to represent a prime number except $2$ and $3$ where $n$ is the natural number.
4. Every even integer greater than $2$ can be expressed as the sum of two primes.
5. It is the probability that a given, randomly chosen number $n$ is prime and is inversely proportional to its number of digits, or to the logarithm of $n$.
Note:
When working with prime numbers, we should know the difference between factors and multiplies. We can easily be confused by these two terms, but factors are the numbers that can be divided evenly into the given number, while multiples are the results of multiplying that number by another.
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