Final answer:
The number 100 is not a prime number but is a composite number, a perfect square (since it equals 10²), and a multiple of 10, satisfying the conditions for all these mathematical classifications.
Step-by-step explanation:
The number 100 is a significant value in mathematics, representing a basic numerical milestone. In addressing the student's question about whether 100 is a prime number, composite number, perfect square, or a multiple of 10, we must consider its properties.
As a prime number is only divisible by 1 and itself without leaving a remainder, this does not describe 100 as it has factors in addition to 1 and 100 (for example, 2, 4, 5, 10, 20, 25, 50).
Therefore, it is not a prime number. A composite number is a positive integer that has at least one divisor other than 1 and itself, which makes 100 a composite number.
The term perfect square describes a number that is the square of an integer. Since 100 can be expressed as 10², it is indeed a perfect square. Additionally, a multiple of 10 is any number that can be divided by 10 without a remainder, which also characterizes the number 100. Hence, 100 is both a perfect square and a multiple of 10.