Which are the ten first prime numbers? Explain why they are primes

Here is a list of the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Why do they are prime numbers?

Each of the numbers in the list of the first 10 prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29) are prime because they are only divisible by 1 and themselves.

For example, 2 is only divisible by 1 and 2, 3 is only divisible by 1 and 3, 5 is only divisible by 1 and 5 and so on. They are not divisible by any other number other than themselves and 1. That's why they are considered prime numbers.

A more formal way to prove that a number is prime is to use the definition of prime numbers: A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers, which means that it can't be divided by any number other than 1 and itself without a remainder. So, to prove that a number is prime, you have to check that it is not divisible by any number greater than 1 and less than itself.