Question

True/False
If p and q are prime, then pq is composite.

Answer 1

If p and q are prime, then pq is composite.

Step-by-step explanation:

True/False If p and q are prime, then pq is composite.

This statement is true. A composite number is a positive integer greater than 1 that has more than two positive divisors. If p and q are both prime numbers, that means they are greater than 1 and have exactly two positive divisors: 1 and themselves. When you multiply p and q together to get pq, you have a positive integer that has more than two positive divisors, making it a composite number.

Example:

If p = 3 and q = 7, both are prime numbers. When you multiply them together, pq = 3 x 7 = 21. The number 21 has more than two positive divisors (1, 3, 7, and 21), so it is a composite number.