Math Problem Statement

Sort each number into the correct category: Prime, Composite, or Neither. The number to be sorted is 12.

Solution

From the image, the task is to sort the number 12 into the correct category: Prime, Composite, or Neither.

Explanation:

  • Prime Number: A number greater than 1 that has only two divisors: 1 and itself.
  • Composite Number: A number greater than 1 that has more than two divisors.
  • Neither: Numbers that are not greater than 1 (e.g., 0, 1).

Analysis for 12:

  • The divisors of 12 are: 1, 2, 3, 4, 6, and 12.
  • Since 12 has more than two divisors, it is Composite.

Final Answer:

The number 12 should be placed under Composite.

Would you like a further explanation or examples? Here are 5 related questions for better understanding:

  1. How do you determine if a number is prime or composite?
  2. Why are 0 and 1 classified as "Neither" in this context?
  3. Can a negative number be prime or composite?
  4. What is the smallest prime number?
  5. How are prime numbers useful in mathematics?

Tip: To check if a number is prime, test divisibility only up to the square root of the number.

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Math Problem Analysis

Mathematical Concepts

Prime Numbers
Composite Numbers
Divisors

Formulas

A prime number has exactly two distinct divisors: 1 and itself.
A composite number has more than two distinct divisors.

Theorems

Definition of Prime Numbers
Definition of Composite Numbers

Suitable Grade Level

Grades 4-6