Exploring Numbers: Primes and More

What is a prime number?

• A prime number is a number that can be divided by any other 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 natural number less than 1.

• A prime number is any even number.

Give an example of a composite number.

• 4

• 3

• 7

• 5

What are co-prime numbers?

• Co-prime numbers are always even numbers.

• Co-prime numbers are numbers whose only common factor is 1.

• Co-prime numbers have at least one common factor greater than 1.

• Co-prime numbers are the same as prime numbers.

Define twin primes and give an example.

• (3, 5)

• (11, 13)

• (17, 19)

• (5, 7)

What is a prime triplet?

• A prime triplet is a set of three numbers that add up to a prime number.

• A prime triplet is a set of three consecutive prime numbers.

• A prime triplet is a group of three prime numbers that are all even.

• A prime triplet is a sequence of three prime numbers separated by one composite number.

List the first three perfect numbers.

• 12, 18, 24

• [6, 28, 496]

• 8, 20, 100

• 30, 42, 60

What is the difference between even and odd numbers?

• Even numbers are divisible by 2; odd numbers are not.

• Even numbers are always negative.

• Even numbers are always greater than odd numbers.

• Odd numbers can be divided by 2 without a remainder.

Is 1 a prime number? Why or why not?

• 1 is considered prime because it is an odd number.

• 1 is a prime number as it has exactly one divisor.

• No, 1 is not a prime number.

• Yes, 1 is a prime number because it is greater than 0.

How many prime numbers are there between 1 and 20?

• 6

• 10

• 8

• 12

What is the smallest composite number?

• 4

• 2

• 5

• 3