Math Problem Statement

Sort the given numbers into Prime, Composite, or Neither categories.

Solution

From the image, this activity requires sorting numbers into three categories: Prime, Composite, or Neither.

Here’s how the numbers should be sorted:

  • Prime: 11, 13
    Explanation: A prime number has exactly two distinct divisors: 1 and itself. Both 11 and 13 meet this criterion.

  • Composite: 10, 12
    Explanation: A composite number has more than two divisors. For example:

    • 10 has divisors 1, 2, 5, 10.
    • 12 has divisors 1, 2, 3, 4, 6, 12.
  • Neither: None in this example.
    Explanation: Numbers like 0 and 1 are neither prime nor composite.

If you have any further questions or need clarifications, let me know!

Here are five related questions:

  1. Why is the number 1 classified as neither prime nor composite?
  2. How can you quickly determine if a number is composite?
  3. Can negative numbers be prime or composite?
  4. Are there any patterns in prime numbers?
  5. Why is the number 2 considered a unique prime number?

Tip: To identify if a number is prime, test divisibility only up to its square root!

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Math Problem Analysis

Mathematical Concepts

Prime numbers
Composite numbers
Number classification

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6