176k views
2 votes
True/False
If p and q are prime, then pq is composite.

User Jwqq
by
8.2k points

1 Answer

2 votes

Final answer:

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.

User Andrew Marshall
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories