Understanding Prime Numbers

What is the definition of a prime number?

• A prime number is a natural number that is less than 1.

• A prime number is any even number.

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

• A prime number is a number that can be divided by any other number.

Which of the following is a prime number?

• 4

• 6

• 2

• 9

Which of the following numbers is not a prime number?

• 7

• 5

• 3

• 4

What is the smallest prime number?

• 5

• 2

• 1

• 3

Which of the following numbers are prime?

• 6

• 8

• 2, 3, 5, 7, 11, 13, 17, 19

• 4

What is a characteristic of prime numbers?

• A prime number can be divided by any integer.

• A prime number is always an even number.

• A prime number has exactly two distinct positive divisors.

• A prime number has more than two positive divisors.

Which group of numbers contains only prime numbers?

• A group containing numbers like [2, 3, 5, 7] is an example of only prime numbers.

• [1, 4, 6, 8]

• [15, 16, 18, 20]

• [9, 10, 12, 14]

Which of the following is the largest prime number?

• 1,000,000,007

• 3,000,000,001

• 5,000,000,003

• 2^82,589,933 − 1

If a number is prime, what is its square?

• The square of a prime number is always a prime number.

• The square of a prime number is always an even number.

• The square of a prime number is always a negative number.

• The square of a prime number is always a composite number.

Why are prime numbers important in number theory?

• Prime numbers are only used in computer programming.

• Prime numbers are irrelevant to mathematical theories.

• Prime numbers are important because they are the fundamental building blocks of integers and are essential in various mathematical theories and applications.

• Prime numbers can be divided by any integer without a remainder.