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

Which of the numbers is a prime number?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the prime numbers
00:03 A prime number is only divisible by itself and 1
00:07 Therefore, if the number is divisible by another factor, it is not prime
00:41 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Which of the numbers is a prime number?

2

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 .

3

Final Answer

23 23

Practice Quiz

Test your knowledge with interactive questions

Is the number equal to \( n \) prime or composite?

\( n=10 \)

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