Identify the Prime Number Among the List: A Basic Number Theory Challenge

Question

Which of the numbers is a prime number?

Video Solution

Step-by-Step Solution

Let's determine which of the given numbers is a prime number. A prime number is a natural number greater than 1 that is only divisible by 1 and itself.

We have the following numbers to consider: 22,23,20, 22, 23, 20, and 27 27 .

  • 22: This number is divisible by 1, 2, 11, and 22. Therefore, it is not a prime number since it has divisors other than 1 and itself.
  • 23: This number is only divisible by 1 and 23. It satisfies the definition of a prime number, as it has no divisors other than 1 and 23.
  • 20: This number is divisible by 1, 2, 4, 5, 10, and 20. It has divisors other than 1 and itself, making it not a prime number.
  • 27: This number is divisible by 1, 3, 9, and 27. Like the others, it is not a prime number because it has divisors other than 1 and itself.

Thus, after evaluating all options, we find that only 23 23 is a prime number.

Therefore, the solution to the problem is 23 23 .

Answer

23 23