From the image provided, this appears to be a sorting task categorizing numbers as Prime, Composite, or Neither.

Definitions:

1. Prime Numbers: Numbers greater than 1 that have no divisors other than 1 and themselves (e.g., 2, 3, 5, 7, 11, etc.).
2. Composite Numbers: Numbers greater than 1 that have divisors other than 1 and themselves (e.g., 4, 6, 8, 9, etc.).
3. Neither: Numbers that do not fall into the above categories, such as 1 or negative numbers.

Observations from the Image:

• 17 is correctly placed under "Prime".
• 16 is correctly placed under "Composite".
• 18 needs sorting.

Where should 18 go?

18 is a Composite Number, as it has divisors other than 1 and itself (specifically, 2, 3, 6, and 9). It should be placed in the "Composite" category.

Would you like me to explain this further or provide additional examples?

Follow-up Questions:

1. How can we quickly determine if a number is prime?
2. What are some examples of "neither" numbers other than 1?
3. How do divisors help in identifying composite numbers?
4. What is the smallest composite number, and why?
5. Why is the number 1 considered "neither prime nor composite"?

Tip:

To identify prime numbers, try dividing the number by all primes up to its square root. If no divisors are found, the number is prime!