Math Problem Statement

Sort each number into categories based on the number of their factors.

Solution

The image shows a sorting task where numbers must be categorized into groups based on the number of their factors:

  1. 1 factor: Numbers that are equal to 1.
  2. 2 factors (Prime): Numbers that have exactly two factors (1 and themselves).
  3. More than 2 factors (Composite): Numbers that have more than two factors.

Explanation of the Sorting

  • The number 15 is correctly placed in the "More than 2 factors (Composite)" category because its factors are 1, 3, 5, and 15.
  • The number 7 should be categorized under "2 factors (Prime)" because it has exactly two factors: 1 and 7.

Would you like further assistance or detailed explanations about factors, primes, and composite numbers? Here are some related questions for expanding the topic:

  1. What are the factors of different numbers?
  2. How do prime numbers differ from composite numbers?
  3. Can the number 1 be considered a prime or composite number?
  4. How can you quickly determine if a number is prime or composite?
  5. What is the role of prime factorization in understanding numbers?

Tip: Always verify factors by systematically dividing the number starting from 1 up to its square root.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Prime Numbers
Composite Numbers
Factors

Formulas

A prime number has exactly two factors: 1 and itself
A composite number has more than two factors

Theorems

Definition of prime and composite numbers

Suitable Grade Level

Grades 4-6