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Quizzes > High School Quizzes > Mathematics

Ficha de Números Primos y Compuestos Quiz

Practica conceptos matemáticos con ejercicios interactivos

Difficulty: Moderate
Grade: Grade 7
Study OutcomesCheat Sheet
Colorful paper art promoting a prime and composite numbers quiz for middle school students.

What is a prime number?
A number that has more than two factors
A number that has exactly two distinct positive factors: 1 and itself
A number that is divisible by 2
A number that can be divided evenly by any integer
A prime number is defined as a number with exactly two distinct positive factors: 1 and the number itself. This property distinguishes it from composite numbers which have additional factors.
Which of the following is a composite number?
12
11
13
17
A composite number has more than two factors. The number 12 can be factored as 1, 2, 3, 4, 6, and 12, making it composite.
Is 2 a prime number?
It is neither prime nor composite.
No, it is composite.
Yes, it is the only even prime number.
No, it is not prime because it is even.
The number 2 is unique because it is the only even number that is prime. Every other even number has additional factors that make them composite.
Which of these numbers is prime?
4
7
6
9
The number 7 is prime because its only divisors are 1 and 7. The other numbers have additional factors, which makes them composite.
What is the smallest composite number?
1
5
4
2
The smallest composite number is 4 because it has factors 1, 2, and 4. The number 1 is neither prime nor composite, and 2 is a prime number.
Which of the following numbers is prime?
15
29
35
21
29 is prime because it has no divisors other than 1 and itself. The other numbers have additional divisors which make them composite.
Which of the following numbers has exactly three positive divisors?
6
8
4
10
A number with exactly three positive divisors is always the square of a prime number. For example, 4 is 2 squared and has divisors 1, 2, and 4.
Which of the following statements is true regarding prime numbers?
Prime numbers are divisible by 4.
All even numbers greater than 2 are prime.
Every prime number is odd.
2 is the only even prime number.
The correct statement is '2 is the only even prime number' because every other even number has extra factors making it composite. This fact makes 2 unique among prime numbers.
Is the number 1 considered prime, composite, or neither?
Neither
Both
Prime
Composite
The number 1 is neither prime nor composite because it has only one positive divisor. For a number to be prime, it must have exactly two distinct positive divisors.
Which of the following is NOT a divisor of 28?
4
5
2
7
While 2, 4, and 7 are divisors of 28, 5 is not because 28 divided by 5 does not result in an integer. This makes 5 the correct answer as the non-divisor.
Determine if 97 is prime or composite.
Both
Prime
Composite
Neither
After testing for divisibility by numbers up to its square root, 97 is found to have no divisors other than 1 and itself. This confirms that 97 is a prime number.
Which set represents all factors of 15?
3, 5, 15
1, 3, 5, 15
1, 2, 3, 5, 15
1, 5, 15
The complete set of factors for 15 is 1, 3, 5, and 15. Leaving out any factor or including extra numbers makes the set incorrect.
Identify the composite number from the list: 17, 19, 21, 23.
17
21
19
23
Among the options, 17, 19, and 23 are prime numbers. The number 21 is composite because it has divisors other than 1 and itself (namely 3 and 7).
Which option lists all the prime factors of 18?
2, 3, and 3
2 and 3
2 and 9
3 and 6
The prime factorization of 18 is 2 x 3 x 3, but the unique prime factors are 2 and 3. This answer focuses on the distinct primes rather than their frequency.
If a number has exactly two distinct divisors, what does that indicate?
It is a perfect square
It is composite
It is even
It is prime
Having exactly two distinct divisors - 1 and the number itself - is the defining property of prime numbers. Composite numbers have more than two divisors.
Using prime factorization, determine the number of divisors of 60.
8
6
12
10
The prime factorization of 60 is 2^2 x 3 x 5. By adding one to each exponent and multiplying (3 x 2 x 2), we determine that 60 has 12 divisors.
Which of the following numbers is NOT the product of exactly two distinct prime numbers?
39
22
30
35
While 22, 35, and 39 are each the product of exactly two distinct primes, 30 factors into 2 x 3 x 5, which is the product of three primes. Therefore, 30 does not meet the criteria.
What is the sum of the unique prime factors of 42?
9
10
14
12
The prime factors of 42 are 2, 3, and 7. Adding these unique factors gives 2 + 3 + 7 = 12.
Find the next prime number after 47.
51
49
53
55
Numbers following 47 up to 53 are composite, making 53 the next prime number. A quick check for divisibility confirms that 53 has no factors other than 1 and itself.
What is the smallest two-digit prime number that is also a palindrome?
11
13
17
22
Although single-digit primes are palindromic, 11 is the smallest two-digit number that is both prime and reads the same forwards and backwards. This unique property sets it apart from the other options.
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Study Outcomes

  1. Analyze the characteristics that define prime and composite numbers.
  2. Identify prime and composite numbers within a given set.
  3. Apply factorization techniques to determine the prime factors of a number.
  4. Evaluate numbers to accurately classify them as prime or composite.
  5. Explain the role of prime numbers in the broader context of arithmetic and number theory.

Quiz: Ficha de Números Primos y Compuestos Cheat Sheet

  1. Understand Prime Numbers - Prime numbers are like the VIP club of the number world: they're greater than 1 and divisible only by 1 and themselves. Grasping this concept helps you crack puzzles and understand more advanced topics later on. Prime and Composite Numbers Lesson Plan
  2. Recognize Composite Numbers - Composite numbers have more than two factors, making them the social butterflies of the number line. Identifying composites quickly will sharpen your factoring skills and boost your problem‑solving speed. Composite Numbers Lesson Plan
  3. Learn the Sieve of Eratosthenes - This ancient algorithm is like a number sieve: you "filter out" multiples of each prime to reveal all primes up to your chosen limit. It's a fun, visual way to see patterns in action and practice systematic elimination. Sieve of Eratosthenes Guide
  4. Practice with Factor Trees - Factor trees break down a composite number into its prime building blocks. Drawing these trees for numbers like 12 (which splits into 2 × 2 × 3) makes prime factorization clear and memorable. Factor Tree Video Lesson
  5. Memorize Prime Numbers Up to 100 - Having the first 25 primes at your fingertips is a huge confidence booster during quizzes and games. Use flashcards or colorful posters to make memorization fun and fast. Prime & Composite Numbers Poster Pack
  6. Apply Divisibility Rules - Quick rules for 2, 3, 5, 7, and more help you decide at a glance if a number is composite. Mastering these tests is like giving yourself a superpower for rapid factor checks. Divisibility Rules Resource
  7. Understand the Role of 1 and 0 - Remember that neither 1 nor 0 counts as prime or composite, which keeps definitions neat and tidy. Knowing why prevents silly errors when you're deep into tricky problems. Prime vs. Composite Video
  8. Explore Prime Factorization - Every composite number can be expressed as a product of primes (like 18 = 2 × 3 × 3). This "prime recipe" is key for advanced topics like least common multiples and greatest common divisors. Prime Factorization Lesson
  9. Engage with Interactive Resources - Online games and dynamic worksheets make identifying primes versus composites feel like a fun challenge. Interactive practice keeps you motivated and helps concepts stick. Interactive Prime/Composite Practice
  10. Review with Practice Problems - Consistent drills and mixed‑challenge sets solidify your skills and build exam‑ready confidence. Try timed quizzes to add excitement and track your progress. Prime & Composite Worksheets
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