11.2 Prime and Composite Numbers

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that has more than two positive divisors.

Front

Is 2 a prime number?

Back

Yes, 2 is a prime number because it can only be divided by 1 and 2.

Front

Is 1 a prime number?

Back

No, 1 is not a prime number because it does not meet the definition of having exactly two distinct positive divisors.

Front

What are the first five prime numbers?

Back

The first five prime numbers are 2, 3, 5, 7, and 11.

Front

What are the first five composite numbers?

Back

The first five composite numbers are 4, 6, 8, 9, and 10.

Front

Is 19 a prime number?

Back

Yes, 19 is a prime number.

Front

Is 63 a composite number?

Back

Yes, 63 is a composite number because it can be divided by 1, 3, 7, 9, 21, and 63.

Front

How can you determine if a number is prime?

Back

To determine if a number is prime, check if it has any divisors other than 1 and itself.

Front

What is the significance of prime numbers in mathematics?

Back

Prime numbers are the building blocks of all natural numbers, as every number can be expressed as a product of primes.