Math Problem Statement

Sort the numbers into Prime, Composite, or Neither.

Solution

The image is asking to categorize the numbers as Prime, Composite, or Neither. Let's analyze the remaining number (20) and categorize it.

  1. Prime numbers are integers greater than 1 that have only two distinct divisors: 1 and themselves.
  2. Composite numbers are integers greater than 1 that have more than two divisors.
  3. Neither applies to numbers like 1 (neither prime nor composite) or non-integers.

Number 20:

  • Divisors of 20: 1, 2, 4, 5, 10, 20
  • Since 20 has more than two divisors, it is Composite.

Final Categorization:

  • Prime: 17, 19
  • Composite: 16, 18, 20
  • Neither: (Empty in this case)

Would you like further explanation on prime and composite numbers? Here are five questions for extended exploration:

  1. What are the properties of prime numbers, and why are they important in mathematics?
  2. Can you explain why the number 1 is neither prime nor composite?
  3. How can you efficiently test whether a large number is prime or composite?
  4. What is the significance of composite numbers in real-world applications?
  5. How does the concept of "Neither" apply to other mathematical classifications?

Tip: Remember, the number 2 is the only even prime number! All other even numbers are composite.

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Math Problem Analysis

Mathematical Concepts

Number theory
Prime numbers
Composite numbers

Formulas

A prime number has only two distinct divisors: 1 and itself.

Theorems

Definition of prime and composite numbers

Suitable Grade Level

Grades 4-6