Prime and Composite Numbers Prime Numbers: A prime number is a number that is only divisible by itself and 1 without any other factors. For example, 7,...
Prime and Composite Numbers
Prime Numbers:
A prime number is a number that is only divisible by itself and 1 without any other factors. For example, 7, 11, and 13 are all prime numbers. These numbers are also called "prime suspects" because they behave strangely compared to composite numbers.
Composite Numbers:
A composite number is a number that is divisible by at least two different factors. For example, 6 is a composite number because it is divisible by 1 and 2. Composite numbers are more common than prime numbers, and they play an important role in number theory.
Examples:
7 is a prime number.
12 is a composite number because it is divisible by 2 and 3.
15 is a composite number because it is divisible by 3 and 5.
19 is a prime number.
30 is a composite number because it is divisible by 2 and 3.
Key Differences:
Prime: A number is only divisible by itself and 1.
Composite: A number is divisible by at least two different factors.
Additional Notes:
All composite numbers are greater than 1.
The number 1 is not considered a prime or composite number.
A number that is divisible by only 1 and itself is called a self-prime number.
Exercises:
Find all the prime numbers between 10 and 25.
Find all the composite numbers between 20 and 40