Question
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4) Which of the numbers below are prime numbers? \[ \begin{array}{llllll}24 & 13 & 21 & 28 & 3 & 11\end{array} \]

Ask by Mcfarlane Floyd. in New Zealand
Feb 07,2025

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Answer

The prime numbers in the list are 13, 3, and 11.

Solution

A prime number is only divisible by 1 and itself. Let's check each number: • 24 is divisible by 2, 3, 4, and more, so it is not prime. • 13 is only divisible by 1 and 13, so it is prime. • 21 is divisible by 3 and 7, so it is not prime. • 28 is divisible by 2, 4, 7, and 14, so it is not prime. • 3 is only divisible by 1 and 3, so it is prime. • 11 is only divisible by 1 and 11, so it is prime. Therefore, the prime numbers in the list are 13, 3, and 11.

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Extra Insights

Prime numbers are those greater than 1 that have no divisors other than 1 and themselves. In your list, 13, 3, and 11 are prime numbers. The number 21 can be divided by 3 and 7, while 24 and 28 can be divided by numerous integers, making them composite. As a fun fact, the smallest prime number is 2—that’s right, the only even prime number! Every other even number can be divided by 2, making them non-prime. So as you explore the world of primes, remember that they are the building blocks of the number system!

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