Math Problem Statement

Sort each number into Prime, Composite, or Neither.

Solution

In the image, numbers are being sorted into three categories: Prime, Composite, and Neither. Here's how the remaining number (15) should be sorted:

  • Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. Examples: 11, 13.
  • Composite numbers: Numbers greater than 1 that have more than two divisors. Examples: 10, 12, 14.
  • Neither: Typically refers to numbers like 0 or 1.

15 is Composite because it has divisors other than 1 and itself (e.g., 1, 3, 5, 15).

If you'd like further explanation or have questions about sorting, let me know!

Related Questions:

  1. What is the difference between prime and composite numbers?
  2. Can negative numbers be classified as prime, composite, or neither?
  3. How do you check if a number is prime or composite?
  4. Why is 1 considered "neither" prime nor composite?
  5. Can 0 be classified as prime, composite, or neither?

Tip: To check if a number is prime, test divisibility by all integers up to its square root. If no divisors are found, it's prime!

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Math Problem Analysis

Mathematical Concepts

Prime Numbers
Composite Numbers
Number Theory

Formulas

Prime: No divisors other than 1 and itself
Composite: More than two divisors

Theorems

Divisibility Rules

Suitable Grade Level

Grades 4-6