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Understanding Prime Numbers and Sieve Method

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Understanding Prime Numbers and Sieve Method

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Questions and Answers

What is a prime number?

A prime number is a number that has no other factors besides 1 and itself.

15 is a prime number.

False

List the prime numbers less than 10.

2, 3, 5, 7

What is the purpose of the Sieve of Eratosthenes?

To find all the prime numbers less than a certain number. Signup and view all the answers

A number is a prime if it has no other factors besides 1 and _____ .

itself Signup and view all the answers

Which of the following numbers is prime?

11 Signup and view all the answers

What is the main application of the greatest common factor (GCF)?

Simplifying fractions. Signup and view all the answers

How can the least common multiple (LCM) be used in arithmetic?

Finding the smallest common denominator for adding fractions. Signup and view all the answers

What does GCF stand for?

Greatest Common Factor Signup and view all the answers

Which grade level is recommended to finish about 2 pages daily of this chapter?

Sixth grade Signup and view all the answers

Study Notes

Prime Numbers

A number is a prime if it has only two factors: 1 and itself.
Example: 13 is prime because its only factors are 1 and 13.
Example: 15 is not prime because, in addition to 1 and 15, it has the factors 3 and 5.

Sieve of Eratosthenes

The Sieve of Eratosthenes is a method for identifying prime numbers.
It involves listing numbers and crossing out multiples of each prime, starting with 2.
This method helps visualize and identify all the prime numbers within a specific range.

Finding Prime Numbers

Numbers larger than 10 do not need to be checked in the Sieve of Eratosthenes because their multiples will have already been crossed out.
For example, all multiples of 11 less than 100 have already been crossed out when multiples of 2, 3, 5, and 7 were crossed out.

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Description

This quiz explores the concept of prime numbers and the Sieve of Eratosthenes. You'll learn how to identify prime numbers and understand the method used to visualize them. Test your knowledge on this fundamental topic in mathematics.