Prime Numbers and Composite Numbers

The video tutorial explains how to determine if a number is prime or composite. It introduces a method that involves finding the square root of the number and checking divisibility by prime numbers smaller than the square root. Examples with numbers 29 and 97 are provided to illustrate the method. The video concludes with a summary of the steps to identify prime numbers.

What is the first step in determining if a number is prime?

• Find the square root of the number

• Check if the number ends in 0 or 5

• Check if the number is even

• Divide the number by 2

For a composite number, its prime factors must be:

• Greater than the square root of the number

• Equal to the number

• Greater than the number

• Less than the square root of the number

Why is 36 considered a composite number?

• It is an even number

• It is a perfect square

• It is divisible by 2 and 3

• It is divisible by 1

What is the approximate square root of 29?

• 5.38

• 7.2

• 6.1

• 4.5

Which prime numbers should be checked to determine if 29 is prime?

• 3, 5, and 7

• 5, 7, and 11

• 2, 4, and 6

• 2, 3, and 5

Why is 29 considered a prime number?

• It is an odd number

• It is not divisible by any prime number less than its square root

• It is divisible by 3

• It is divisible by 2

What is the approximate square root of 97?

• 8

• 10

• 9

• 11

Which prime numbers should be checked to determine if 97 is prime?

• 3, 5, 7, and 11

• 5, 7, 9, and 11

• 2, 4, 6, and 8

• 2, 3, 5, and 7

Why is 97 considered a prime number?

• It is divisible by 2

• It is divisible by 3

• It is not divisible by any prime number less than its square root

• It is an even number

What is the final step in determining if a number is prime?

• Check if the number is a perfect square

• Check divisibility by all numbers

• Check divisibility by prime numbers smaller than the square root

• Check if the number is odd