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 factor: Numbers that are equal to 1.
- 2 factors (Prime): Numbers that have exactly two factors (1 and themselves).
- 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:
- What are the factors of different numbers?
- How do prime numbers differ from composite numbers?
- Can the number 1 be considered a prime or composite number?
- How can you quickly determine if a number is prime or composite?
- 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.
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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