Math Problem Statement
Solution
Based on the provided image, it appears to be a sorting activity for categorizing numbers as Prime, Composite, or Neither. Here is the categorization of the number "21":
- Prime Numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. (e.g., 17, 19)
- Composite Numbers: Numbers greater than 1 that have more than two divisors. (e.g., 16, 18, 20)
- Neither: Typically refers to 0 or 1, as they do not meet the criteria for being either prime or composite.
Number 21:
- 21 is Composite, as it has divisors other than 1 and itself (1, 3, 7, 21).
Thus, you would place 21 in the Composite category.
Do you need further explanation or details?
Here are 5 related questions to expand understanding:
- How can we determine if a number is prime?
- Why are 0 and 1 neither prime nor composite?
- Can composite numbers have more than two factors? If yes, why?
- What is the importance of prime numbers in mathematics?
- Are all even numbers greater than 2 composite? Why?
Tip: A quick way to check if a number is composite is to see if it can be evenly divided by any prime number up to its square root.
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Math Problem Analysis
Mathematical Concepts
Prime Numbers
Composite Numbers
Divisors
Formulas
A number is prime if it has only two divisors: 1 and itself.
A number is composite if it has more than two divisors.
Theorems
Fundamental Theorem of Arithmetic: Every integer greater than 1 is either a prime or can be factored into prime numbers.
Suitable Grade Level
Grades 5-7