Math Problem Statement

Sort the numbers based on the number of factors they have (1 factor, 2 factors/prime, more than 2 factors/composite).

Solution

The image shows a sorting task with categories based on the number of factors of each number. Here's the proper way to sort them:

  1. 1 factor: This category is for the number 1 because it only has one factor, itself (1).

  2. 2 factors (Prime): These numbers have exactly two distinct factors, 1 and the number itself. In this case, 2 and 7 belong here.

  3. More than 2 factors (Composite): These numbers have more than two factors. 15 and 20 belong here because:

    • 15 has factors: 1, 3, 5, 15.
    • 20 has factors: 1, 2, 4, 5, 10, 20.

Let me know if you need further clarifications or help understanding the concept!


Here are 5 related questions to deepen your understanding:

  1. What is the difference between prime and composite numbers?
  2. Why is the number 1 neither prime nor composite?
  3. Can a prime number ever be even? Why or why not?
  4. What are the factors of 20 and 15, and how do they confirm these numbers are composite?
  5. How can you quickly determine if a number is prime or composite?

Tip: Always check divisibility rules to quickly identify composite numbers!

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Math Problem Analysis

Mathematical Concepts

Factors
Prime Numbers
Composite Numbers

Formulas

Factors of a number

Theorems

Definition of Prime and Composite Numbers

Suitable Grade Level

Grades 4-6