Prime and Composite Numbers Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Name the first twenty prime numbers.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71

Name the first twenty composite numbers.

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32

The number 1 is a prime number.

False (B)

The number 2 is the smallest prime number and the only even prime number.

<p>True (A)</p> Signup and view all the answers

Two prime numbers are always co-primes, but two co-primes may not be prime numbers.

<p>True (A)</p> Signup and view all the answers

What are the first five consecutive composite numbers?

<p>4, 6, 8, 9, and 10</p> Signup and view all the answers

The divisibility rule of three is: Add all the digits of the number, if it is divisible by ______, then it is divisible by three.

<p>three</p> Signup and view all the answers

The divisibility rule of four is: If the last two digits are divisible by ______, then it is divisible by four.

<p>four</p> Signup and view all the answers

Describe the divisibility rule of seven.

<p>Pick the last digit of a number, multiply it by 2, and subtract the product from the rest of the number to its left. If the difference is 0 or a multiple of 7, then the given number is divisible by 7.</p> Signup and view all the answers

Divisibility rule of eight is: if the last ______ digits of the number is divisible by eight, then it is divisible.

<p>three</p> Signup and view all the answers

The divisibility rule of nine is: If you add all the digits in the number, and the sum is divisible by ______, then it is divisible.

<p>nine</p> Signup and view all the answers

HCF x LCM of two numbers = ______ of the numbers.

<p>Product</p> Signup and view all the answers

Flashcards

Prime Number

A whole number greater than 1 that has only two factors: 1 and itself.

Composite Number

A whole number greater than 1 that has more than two factors.

Divisibility Rule of 3

Add all the digits of a number. If the sum is divisible by 3, then the original number is divisible by 3.

Divisibility Rule of 4

If the last two digits of a number are divisible by 4, then the whole number is divisible by 4.

Signup and view all the flashcards

Divisibility Rule of 7

Multiply the last digit by 2, subtract this from the rest of the number. If the result is divisible by 7, the original number is divisible by 7.

Signup and view all the flashcards

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the entire number is divisible by 8.

Signup and view all the flashcards

Divisibility Rule of 9

Add all the digits in a number. If the sum is divisible by 9, the number is divisible by 9.

Signup and view all the flashcards

Co-primes

Two numbers whose only common factor is 1.

Signup and view all the flashcards

Smallest prime number

The number 2 is the only even prime number.

Signup and view all the flashcards

HCF

Highest common factor

Signup and view all the flashcards

LCM

Least common multiple

Signup and view all the flashcards

HCF x LCM

Equals to the product of the two numbers

Signup and view all the flashcards

Number 1

Neither prime nor composite

Signup and view all the flashcards

Consecutive Composite Numbers

Numbers that follow each other.

Signup and view all the flashcards

Two prime numbers

Always co-primes

Signup and view all the flashcards

Two co-primes

May not be prime numbers

Signup and view all the flashcards

Study Notes

Prime and Composite Numbers

  • First twenty prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71
  • First twenty composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32
  • 1 is neither prime nor composite
  • 2 is the smallest prime number and the only even prime number
  • Two prime numbers are always coprime, but coprime numbers may not be prime

Divisibility Rules

  • Divisibility by 3: Sum of digits is divisible by 3
  • Divisibility by 4: Last two digits are divisible by 4
  • Divisibility by 7: Multiply last digit by 2, subtract from the rest of the number, if the difference is 0 or a multiple of 7, then divisible
  • Divisibility by 8: Last three digits divisible by 8.
  • Divisibility by 9: Sum of the digits is divisible by 9

Relationship between HCF and LCM

  • HCF (Highest Common Factor) x LCM (Lowest Common Multiple) of two numbers = Product of the numbers

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Use Quizgecko on...
Browser
Browser