Math Problem Statement
Sort each number into the correct category: Prime, Composite, or Neither. The number to be sorted is 12.
Solution
From the image, the task is to sort the number 12 into the correct category: Prime, Composite, or Neither.
Explanation:
- Prime Number: A number greater than 1 that has only two divisors: 1 and itself.
- Composite Number: A number greater than 1 that has more than two divisors.
- Neither: Numbers that are not greater than 1 (e.g., 0, 1).
Analysis for 12:
- The divisors of 12 are: 1, 2, 3, 4, 6, and 12.
- Since 12 has more than two divisors, it is Composite.
Final Answer:
The number 12 should be placed under Composite.
Would you like a further explanation or examples? Here are 5 related questions for better understanding:
- How do you determine if a number is prime or composite?
- Why are 0 and 1 classified as "Neither" in this context?
- Can a negative number be prime or composite?
- What is the smallest prime number?
- How are prime numbers useful in mathematics?
Tip: To check if a number is prime, test divisibility only up to the square root of the number.
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
Divisors
Formulas
A prime number has exactly two distinct divisors: 1 and itself.
A composite number has more than two distinct divisors.
Theorems
Definition of Prime Numbers
Definition of Composite Numbers
Suitable Grade Level
Grades 4-6