Chapter 2Prime Number

Identifying Prime and Composite Numbers

Practice identifying primes and composites. Develop quick recognition skills and learn divisibility tests for efficient classification.

15 questions
12 minutes

Practice Exercise

Chapter 2 Prime Number: Identifying Prime and Composite Numbers

Practice distinguishing primes vs non-primes. Develop the skill of quickly identifying whether a number is prime or composite. Learn efficient divisibility testing techniques, apply the square root rule for primality checks, and practice mental math strategies for rapid number classification. Through progressive exercises, build confidence in recognizing prime patterns and composite factorizations.

Learning Objectives for This Chapter

In this chapter, you'll develop mastery through carefully structured practice. Each objective builds upon the previous one, ensuring you gain both theoretical understanding and practical problem-solving skills.

Quickly identify prime numbers from a given set of numbers.

Distinguish between prime and composite numbers with confidence.

Apply divisibility tests to check for primality efficiently.

Recommended related tools

These interactive tools are specially designed to complement your learning experience. Use them alongside this exercise to visualize concepts, explore patterns, and deepen your understanding through hands-on practice. Each tool provides unique insights that will enhance your problem-solving skills.

Prime Number Explorer Prime Factorization Visualization

Practice Questions

Answer all 15 questions below, then click "Check Answers" to see your results.

1
When scanning the numbers 15, 17, 21, and 25 during a quick classroom exercise, which value should be selected as prime?
2
A student is building a list of composite numbers. Which option must be included because it can be factored into smaller positive integers?
3
Using divisibility checks up to the square root, how should you classify the number 29?
\text{Classify }29
4
Which number should be flagged as non-prime when evaluating the set {31, 37, 39, 41} for classroom discussion?
5
During a mental math check, which test quickly demonstrates that 51 is composite without long division?
5 + 1 = 6
6
If you need the largest prime less than 30 for a puzzle, which number should you choose?
7
When analyzing the number 91, what classification and justification best describe it?
8
Which ordered pair consists exclusively of prime numbers when verifying each entry with basic divisibility tests?
9
While checking three-digit numbers, how should you classify 143 after testing divisibility by small primes?
143
10
Which number should be marked first when identifying composites in the set {49, 53, 59, 61}?
11
Which expression evaluates to a prime number when simplified?
12
What conclusion about 41 follows from checking divisibility by all primes up to \(\sqrt{41}\)?
\sqrt{41}
13
Which number should be classified as composite based on a simple divisibility rule?
14
Which ordered pair contains two consecutive prime numbers?
15
Which expression yields the smallest prime value among these Mersenne candidates of the form \(2^p - 1\)?
Share this chapter:
Previous
Introduction to Prime Numbers
Next
Prime Factorization Skills Lab

Related Series

Discussion (0)

U
Be respectful and constructive

No comments yet

Be the first to share your thoughts!