Identify the number classified as a composite

Question

37
27
47
67

Answer 1

A composite number is a positive integer that has at least one positive divisor other than one and itself. In other words, a composite number has more than two distinct positive divisors.

Let's analyze the numbers you provided:

• 37: This number is prime as it has only two divisors (1 and 37).
• 27: This number is composite because it can be factored into \(3 \times 9\) (or \(3 \times 3 \times 3\)), so it has divisors other than 1 and 27.
• 47: This number is prime as it has only two divisors (1 and 47).
• 67: This number is prime as it has only two divisors (1 and 67).

Thus, among the numbers listed, 27 is classified as a composite number.

Answer 2

Classify zero as prime or composite
Prime
Both prime and composite
Neither prime nor composite
Composite

Answer 3

Zero is classified as neither prime nor composite.

The reason is that:

• A prime number is defined as a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
• A composite number is defined as a natural number greater than 1 that has more than two positive divisors.

Since zero does not meet the criteria for being either prime or composite, it is classified as neither.