Prime and Composite Numbers

Math ⇒ Number and Operations

Prime and Composite Numbers starts at 6 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Prime and Composite Numbers. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Explain how to determine if a number is prime.

Explain why 1 is neither a prime nor a composite number.

Explain why 49 is a composite number.

Explain why every even number greater than 2 is composite.

Find the sum of all prime numbers less than 10.

List all the prime numbers between 10 and 30.

List all the prime numbers between 50 and 70.

List the first five composite numbers.

State the Fundamental Theorem of Arithmetic.

What is the next prime number after 31?

What is the prime factorization of 84?

A number n is such that it has exactly three distinct positive divisors. What can you say about n?

Find all prime numbers p such that p + 2 is also a prime number less than 50. List all such pairs.

If n is a composite number, prove that there exists a prime number p such that p divides n and p ≤ √n.

If p is a prime number greater than 3, prove that p² − 1 is always divisible by 24.

Let n be a positive integer such that both n and n + 2 are composite numbers. Give an example of such a pair and explain why both are composite.

Prove that if a number greater than 1 is not divisible by any prime number less than or equal to its square root, then it is a prime number.