Math Problem Statement

Sort the numbers into the categories of Prime, Composite, or Neither based on their properties.

Solution

Based on the image provided, this is a sorting activity to classify numbers as Prime, Composite, or Neither. Here’s how the numbers should be categorized:

  1. Prime numbers:

    • These have only two distinct positive divisors: 1 and the number itself.
    • Example: 1717 (already correctly placed in the Prime section) and 1919 should also be moved here.
  2. Composite numbers:

    • These have more than two divisors.
    • Examples: 1616 and 1818 are correctly placed in the Composite section.
  3. Neither category:

    • The only numbers in this category are 00 and 11, as they are neither prime nor composite.

For this activity, the number 1919 should be moved to the Prime category.

Do you have any questions or need further clarification?

5 Related Questions:

  1. What is the difference between prime and composite numbers?
  2. Why are 00 and 11 considered neither prime nor composite?
  3. Can a composite number ever become a prime number?
  4. Are there any patterns in how prime numbers are distributed?
  5. How can you quickly check if a number is prime or composite?

Tip:

To test if a number is prime, check divisibility only up to its square root. For example, for 1919, check divisors up to 19\sqrt{19}, which is approximately 4.364.36. If no divisors other than 11 and 1919 are found, it is prime.

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6