The number 5 is

A) prime
B) composite
C) neither prime nor composite
D) both prime and composite

http://www.mathsisfun.com/prime-composite-number.html

What do you think?

A Prime Numbers can be divided evenly only by 1 or itself.

1 , 3 , 5 , 7 , 11 , 13 ,17 ...

5 is prime number

To determine whether a number is prime, composite, or neither, you need to understand the definitions of these terms.

1. Prime Number: A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be evenly divided by any number other than 1 and itself.

2. Composite Number: A composite number is a positive integer greater than 1 that is not prime. In other words, a composite number has at least one positive divisor other than 1 and itself.

In the given options:

A) Prime: If 5 is a prime number, it means that it is not divisible by any other number except 1 and 5. To verify this, check if there exists any number smaller than 5 (but greater than 1) that divides 5 evenly. If there are no such divisors, then 5 is prime.

B) Composite: If 5 is a composite number, it means that there is a number other than 1 and 5 that evenly divides 5. Check if there exists any divisor for 5 other than 1 and 5. If there are no such divisors, then 5 is not composite.

C) Neither Prime nor Composite: This option would imply that 5 does not fall into either category. However, every positive integer greater than 1 is either prime or composite, so this option cannot be correct.

D) Both Prime and Composite: A number cannot be both prime and composite simultaneously. A number is either prime or composite.

Based on the definitions of prime and composite numbers, the correct answer for the number 5 is:

A) Prime

To verify this, you can check that there are no divisors of 5 other than 1 and 5.