Math Problem Statement

Sort the numbers 10 and 11 into the categories Prime, Composite, or Neither.

Solution

From the image, the task is to sort numbers into three categories: Prime, Composite, or Neither.

Definitions:

  1. Prime numbers: Numbers greater than 1 with only two factors: 1 and itself (e.g., 2, 3, 5, 7, 11).
  2. Composite numbers: Numbers greater than 1 that have more than two factors (e.g., 4, 6, 8, 10).
  3. Neither: This typically includes numbers like 0 and 1 since they are neither prime nor composite.

For the given numbers:

  • 10 is Composite because it has factors 1, 2, 5, and 10.
  • 11 is Prime because it has only two factors: 1 and 11.

Would you like further clarification or additional examples?

Here are 5 related questions to expand your understanding:

  1. What makes 1 neither prime nor composite?
  2. Can negative numbers be classified as prime or composite?
  3. How do you determine if large numbers are prime?
  4. Are all even numbers composite?
  5. Why is 2 the only even prime number?

Tip: To determine if a number is composite, check if it has divisors other than 1 and itself.

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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