Math Problem Statement
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:
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1 factor: This category is for the number 1 because it only has one factor, itself (1).
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2 factors (Prime): These numbers have exactly two distinct factors, 1 and the number itself. In this case, 2 and 7 belong here.
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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:
- What is the difference between prime and composite numbers?
- Why is the number 1 neither prime nor composite?
- Can a prime number ever be even? Why or why not?
- What are the factors of 20 and 15, and how do they confirm these numbers are composite?
- 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