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 Factor: Numbers with only one factor.
- 2 Factors (Prime): Prime numbers with exactly two factors.
- 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:
- How do we determine if a number is prime or composite?
- What are examples of numbers with only one factor?
- Why do prime numbers have exactly two factors?
- Can a composite number ever have exactly three factors?
- 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