A prime number is defined as a positive number (an integer that is greater than the number 0) with just two elements, the number one and the number on its own. Let’s suppose if we take the variable name as p, and if p is known to be a prime, its only components must be 1 & the number p itself. Any integer that does not come after this is referred to as a composite number, and it may be split into other positive numbers. Another way to put it is that it is a positive value or integer that is not a product of any other 2 positive integers except 1 and the number itself.
In this article, we are going to discuss prime numbers 1 to 100.
What are Prime Numbers?
We have already discussed in the article above that any given prime number has only two factors which means that if the number is prime then the number can be divided by the number 1 & the number itself. Do you wish to know the distinction between prime and composite numbers? Let’s go through the difference.
Prime Numbers | Composite Numbers |
We can define prime numbers as numbers that have not more than two factors, that is they are divisible by only two numbers, that is, 1 & the number itself. | We can define composite numbers as numbers that have not more than two factors, that is they are divisible by only two numbers, that is, 1 & the number itself. |
The total number of factors will be 2 . | 2) The total number of factors will always be more than 2. |
Examples of prime numbers – 2, 13 | 3) Examples of composite numbers – 12, 25 |
Characteristics of Prime Numbers
The prime numbers in Mathematics are defined as numbers that have only two elements, One as well as the number itself. The following section examines the important features of prime numbers:
- A prime number has precisely two elements. Consider the number ’13; if we compute the factors of the number, we will discover that it has two factors: 1 & 13 itself. As a result, the number 13 is a prime number.
- The number ‘2’ is a one-of-a-kind even prime number. Except for the number two, there are no even prime numbers.
- When discussing prime numbers, it is important to remember that two prime numbers are almost always coprime to each other.
Examples of Prime Numbers
Question 1: Is the number 25 a prime number?
Solution: Let’s try to figure out whether the number given in the question is a prime number or not. The first we need to do is to write down the factors of the number 25 is 1, 5, 25. We can see that there are three factors of the number 25 which doesn’t fulfill the criteria for being a prime number. 25 is not prime.
Question 2: Is the number 13 a prime number?
Solution: Let’s try to figure out whether the number given in the question is a prime number or not. The first we need to do is to write down the factors of the number 13 is 1 & the number itself 13. We can see that there are only two actors of the number 13 the number 11 and the number itself which fulfills the criteria for being a prime number. Therefore, 13 is prime.
Question 3: Is the number 2 a prime number?
Solution: The number 2 is a unique number. As there are no even numbers that are known to be prime. All even numbers are composite numbers.
You can visit the Cuemath website if you want to know more about the topic.