There are 831 composite numbers between 1 and 1000.
To arrive at this answer, we need to understand what composite numbers are and then perform some calculations.
What are Composite Numbers?
A composite number is a positive integer that has more than two distinct factors (divisors): 1, itself, and at least one other factor. Examples include 4 (1, 2, 4), 6 (1, 2, 3, 6), and 9 (1, 3, 9). Prime numbers, on the other hand, have exactly two distinct factors: 1 and themselves (e.g., 2, 3, 5, 7). The number 1 is neither prime nor composite, as it only has one factor.
Calculation:
To find the number of composite numbers between 1 and 1000, we can use the following steps:
- Total numbers: There are 1000 integers from 1 to 1000.
- Prime numbers: We need to determine the number of prime numbers between 1 and 1000. There are 168 prime numbers between 1 and 1000. A list of primes from 1-1000 can be found online, for example: List of prime numbers
- Number 1: Remember that 1 is neither prime nor composite.
- Composite numbers: Subtract the number of prime numbers and 1 from the total number of integers: 1000 - 168 - 1 = 831.
Therefore, there are 831 composite numbers between 1 and 1000. The smallest composite number in this range is 4 and the largest is 1000.
