PRIME NUMBER

Prime Number

Definition Of Prime Number

A prime number is a positive integer that has exactly two factors, 1 and the number itself.

Example of Prime Number

2, 3, 5, 7, 11, 13, 17, 19, etc. are all prime numbers.
There are infinitely many prime numbers.

Video Examples: Prime Numbers

Solved Example on Prime Number

Ques: Is 41 a prime number?

Choices:

A. Yes
B. No
Correct Answer: A

Solution:

Step 1: The only divisors of 41 are 1 and 41. So, 41 is a prime number.

Quick Summary

Prime numbers are only divisible by 1 and themselves.
2 is the smallest and only even prime number.
There are infinitely many prime numbers.

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🍎 Teacher Insights

Use visual aids like the Sieve of Eratosthenes to help students identify prime numbers. Emphasize that prime numbers are the building blocks of all other integers.

🎓 Prerequisites

Integers
Divisibility
Factors

Check Your Knowledge

Q1: Which of the following numbers is a prime number?

4 6 7 9

Q2: How many factors does a prime number have?

0 1 2 3

Frequently Asked Questions

Q: Is 1 a prime number?
A: No, 1 is not a prime number because it only has one factor, which is 1.

Q: Is 0 a prime number?
A: No, 0 is not a prime number. Prime numbers must be positive integers greater than 1.