How many composite numbers are there between 1 and 10?

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Question: How many composite numbers are there between 1 and 10?

Options:

Correct Answer: 5

Solution:

There are 4 composite numbers between 1 and 10: 4, 6, 8, 9, 10.

How many composite numbers are there between 1 and 10?

How many composite numbers are there between 1 and 10?

Step 1: Understand what a composite number is. A composite number is a positive integer that has at least one positive divisor other than one or itself. This means it can be divided evenly by numbers other than 1 and itself.
Step 2: List all the numbers between 1 and 10. The numbers are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Step 3: Identify which of these numbers are composite. Start checking each number: 1 is not composite, 2 is prime, 3 is prime, 4 is composite (divisible by 2), 5 is prime, 6 is composite (divisible by 2 and 3), 7 is prime, 8 is composite (divisible by 2), 9 is composite (divisible by 3), and 10 is composite (divisible by 2 and 5).
Step 4: List the composite numbers found: 4, 6, 8, 9, and 10.
Step 5: Count the composite numbers listed. There are 5 composite numbers: 4, 6, 8, 9, and 10.

Composite Numbers – Composite numbers are natural numbers greater than 1 that are not prime, meaning they have more than two distinct positive divisors.