What is the next prime number after 7?

Study for the SAE Mathematics Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the next prime number after 7?

Explanation:
The next prime number after 7 is 11 because a prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Starting from 8, we can evaluate the numbers sequentially. - 8 is divisible by 1, 2, 4, and 8, so it is not prime. - 9 is divisible by 1, 3, and 9, so it is also not prime. - 10 is divisible by 1, 2, 5, and 10, which means it is not prime. - However, when we reach 11, the only divisors are 1 and 11, confirming that it is prime. Therefore, 11 is the next prime number following 7.

The next prime number after 7 is 11 because a prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Starting from 8, we can evaluate the numbers sequentially.

  • 8 is divisible by 1, 2, 4, and 8, so it is not prime.
  • 9 is divisible by 1, 3, and 9, so it is also not prime.

  • 10 is divisible by 1, 2, 5, and 10, which means it is not prime.

  • However, when we reach 11, the only divisors are 1 and 11, confirming that it is prime.

Therefore, 11 is the next prime number following 7.

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