Understanding Number Classifications: Perfect, Abundant, and Deficient Numbers

What defines a perfect number?

• The sum of its factors, excluding itself, is less than the number.

• The sum of its factors, excluding itself, is greater than the number.

• The sum of its factors, excluding itself, equals the number.

• It has no factors other than 1 and itself.

Which of the following is a perfect number?

• 28

• 12

• 5

• 22

What is an abundant number?

• A number where the sum of its factors, excluding itself, is greater than the number.

• A number where the sum of its factors, excluding itself, is less than the number.

• A number with no factors other than 1 and itself.

• A number where the sum of its factors, excluding itself, equals the number.

Which of the following numbers is abundant?

• 28

• 6

• 5

• 12

Why are all prime numbers considered deficient?

• Because the sum of their factors, excluding themselves, is less than the number.

• Because the sum of their factors, excluding themselves, equals the number.

• Because the sum of their factors, excluding themselves, is greater than the number.

• Because they have no factors other than 1 and themselves.