Input a number to check if it's a composite number, or define a range to generate all composite numbers within that range.
Composite Number Check or Generate
Result
Result
What Is a Composite Number?
A composite number is a natural number greater than 1 that has at least one factor other than 1 and itself. In simpler terms, a composite number can be evenly divided by numbers other than 1 and itself. Examples include 4, 6, 8, 9, and 10. Composite numbers stand in contrast to prime numbers, which only have two factors: 1 and themselves.
How to Determine If a Number Is a Composite Number
Follow these steps to check if a number is a composite:
Eliminate Special Cases: Numbers less than 2 are neither prime nor composite.
Test for Divisors: Divide the number by natural numbers starting from 2 up to the square root of the number.
Evaluate the Result: If at least one divisor is found, the number is composite. If no divisor is found, the number is prime and not composite.
Examples
Example 1: Is 8 a Composite Number?
Solution:
Testing Divisors:
8 can be evenly divided by 2.
Result: 8 is a composite number.
Example 2: Is 87 a Composite Number?
Solution:
Testing Divisors:
87 can be evenly divided by 3.
Result: 87 is a composite number.
Example 3: Is 97 a Composite Number?
Solution:
Testing Divisors:
Check divisors from 2 to \( \sqrt{97} \approx 9.8 \): 2, 3, 4, 5, 6, 7, 8, 9, 10. None result in a whole number.
Result: 97 is a composite number; it is a prime number.