How can you determine if a number is prime?

Prepare for the ABCTE Secondary Math Exam with challenging questions, helpful hints, and detailed explanations. Equip yourself with the knowledge needed to excel in your certification test!

A number is classified as a prime number if it has exactly two distinct positive divisors: 1 and itself. This means that a prime number can only be divided evenly (without leaving a remainder) by the number 1 and the number itself. For example, the number 7 is prime because it can only be divided by 1 and 7, resulting in whole numbers.

In contrast, the other options do not accurately define prime numbers. An even number greater than 2, such as 4 or 6, has more than two positive divisors, disqualifying it from being prime. A number that can be divided by 5 is not necessarily prime since many numbers other than primes can be divided by 5, such as 10 or 15. Lastly, stating that a whole number greater than 10 is prime is misleading because there are many composite numbers greater than 10, such as 12, 14, and many others, which have divisors other than 1 and themselves. Therefore, the defining characteristic of a prime number being limited to exactly two positive divisors makes the first choice the accurate answer.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy