Ontario Mathematics Proficiency Practice Test

Question: 1 / 400

Which of the following is true about prime numbers?

They can be divided by any number

They have exactly two distinct positive divisors

The statement that prime numbers have exactly two distinct positive divisors is accurate and captures the essence of what defines a prime number. A prime number is a natural number greater than 1 that can only be divided by 1 and itself without resulting in a fraction or decimal. This means that prime numbers cannot be evenly divided by any other numbers, highlighting their unique nature in number theory. For example, the number 5 can only be divided by 1 and 5, making it prime.

The other statements do not hold true. Prime numbers can only be divided evenly by 1 and themselves, which is contrary to the first option. Furthermore, while most prime numbers are odd, the only even prime number is 2, which negates the idea that they are always even. Lastly, prime numbers are indeed whole numbers, as they are a subset of natural numbers.

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They are always even

They cannot be whole numbers

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