Prime and Composite Numbers Concepts

The video tutorial explains the difference between prime and composite numbers. A prime number has only two factors: one and itself, while a composite number has more than two factors. The tutorial provides examples of each type and analyzes lists to identify which contain exactly two prime and two composite numbers. The correct list is identified, and the reasoning is verified by checking each number in the lists.

What is the main task described in the problem statement?

• Identify a list with two prime and two composite numbers.

• Identify a list with only prime numbers.

• Identify a list with three prime numbers.

• Identify a list with only composite numbers.

Which of the following is a characteristic of a prime number?

• It is always greater than 10.

• It has exactly two distinct factors: 1 and itself.

• It is always an even number.

• It has more than two factors.

Why is 13 considered a prime number?

• Because it is an even number.

• Because it is less than 20.

• Because it can be divided by 1 and 13 only.

• Because it is a multiple of 3.

What makes a number composite?

• It is always an odd number.

• It has factors other than 1 and itself.

• It is a prime number.

• It has only one factor.

Why are all even numbers other than 2 considered composite?

• Because they have no factors.

• Because they are prime numbers.

• Because they are divisible by 2.

• Because they are odd numbers.

Which numbers in list A are composite?

• 13 and 14

• 14, 15, and 16

• 13 and 15

• 2 and 7

Which list contains exactly two prime numbers and two composite numbers?

• List A

• List C

• List D

• List B

What is the prime number in list C?

• 8

• 9

• 10

• 7

How many composite numbers are in list D?

• Three

• One

• Two

• Four

What is the final answer to the problem statement?

• List A

• List B

• List C

• List D