Math Problem Statement

Sort the numbers 7, 15, and 20 into categories based on the number of factors: 1 factor, 2 factors (Prime), and more than 2 factors (Composite).

Solution

From the image, the task is to sort the numbers based on the given categories:

  1. 1 Factor: Numbers with only one factor.
  2. 2 Factors (Prime): Prime numbers with exactly two factors.
  3. More than 2 Factors (Composite): Composite numbers with more than two factors.

Sorting the numbers:

  • 7: Already placed in the "2 Factors (Prime)" category, which is correct, as 7 is a prime number.
  • 15: Correctly placed in the "More than 2 Factors (Composite)" category, as it has factors 1, 3, 5, and 15.
  • 20: Should go in the "More than 2 Factors (Composite)" category, as it has factors 1, 2, 4, 5, 10, and 20.

Adjustments:

  • Place 20 in the "More than 2 Factors (Composite)" column.

Let me know if you'd like a detailed explanation of prime and composite numbers or further assistance! Here are some related questions:

  1. How do we determine if a number is prime or composite?
  2. What are examples of numbers with only one factor?
  3. Why do prime numbers have exactly two factors?
  4. Can a composite number ever have exactly three factors?
  5. What are some tricks to quickly identify composite numbers?

Tip: Always verify the total factors of a number to ensure proper classification!

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Numbers
Composite Numbers
Factors

Formulas

Definition of factors: A factor is a number that divides another number completely without a remainder.

Theorems

Prime Number Theorem
Composite Number Properties

Suitable Grade Level

Grades 4-6