The Prime numbers is a basic lesson of all math class from college. However, with the passage of time we forget the basic concepts and there comes a day when we consider in our head what a prime number is.
The simplest definition of Prime number is the following: a Natural number with exactly two positive divisors. That is, the number itself and 1. In other words, it is a number whose only positive divisors are the number 1 and itself. It can also be explained by stating that prime numbers are not divisible without remainder by any whole number, only by itself and 1. Furthermore, prime numbers are not factorable: decompose it into factors through successive divisions between its prime divisors until one is obtained as a quotient.
For those who have not understood it yet, we are going to give an example. If we take the number 15 and divide it with small figures such as 3 and 5, we observe that it has other divisors apart from 1 and 15. That is, they give a zero remainder when divided. These numbers that are not prime are called composite and they are factorable. However, if we take 17 we find that it is only divisible by itself and by 1: it is then a prime number.
If we opt for higher figures like 91 and we begin to divide it into small primes we will realize that the number 7 is divisible leaving a remainder of 0. Therefore, 91 is not a prime number. What happens then with the number 97? In the case of 97, there is no prime number that, when divided, leaves a remainder of zero. This means that only dividing it by 1 and itself gives such a result in the rest.
The prime numbers from 0 to 97 are as follows: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
Is the number 0 a prime number? And the 1?
The number zero is neither prime nor composite, why? The 0 is not prime because it is not divisible by itself. What’s more, zero has an infinite number of divisors: any non-zero integer is a factor of zero). In fact, if you enter this division in the calculator, it gives an error. It cannot be written as a product of two factors, so zero is not a composite number either. The number 1 is also not prime because it only has itself as a divisor and prime numbers correspond to two positive divisors.
Source: Lasexta
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