7.2 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 the number 1 a prime number?

Back

No, the number 1 is neither prime nor composite.

Front

What is the smallest prime number?

Back

The smallest prime number is 2.

Front

What is the only even prime number?

Back

The only even prime number is 2.

Front

Can a number be both prime and composite?

Back

No, a number cannot be both prime and composite.

Front

What is the sum of two prime numbers and one composite number if the sum is 45?

Back

The numbers could be 13, 17 (prime), and 15 (composite).

Front

If the difference between two prime numbers is a composite number, can you give an example?

Back

An example is the prime numbers 23 and 19, which have a difference of 4 (composite).

Front

Which of the following is a prime number: 9, 15, 23, 25?

Back

23 is a prime number.

Front

What is the definition of a natural number?

Back

A natural number is a positive integer, starting from 1 and going upwards (1, 2, 3, ...).