4.1 Understanding Prime and Composite Numbers

I'm a number greater than 1. I can only be divided evenly by myself and 1. What kind of number am I?

• Composite number

• Prime number

• Even number

• Odd number

True or False: The number 1 is a prime number.

• True

• False

Can a prime number ever be an even number? If so, can you give an example?

• No, prime numbers cannot be even.

• Yes, for example, 2.

• Yes, for example, 4.

• No, even numbers are always composite.

I'm a number with more than two factors. What kind of number am I?

• Prime number

• Composite number

• Even number

• Odd number

Can a composite number ever be an odd number? If so, can you give an example?

• No, composite numbers are always even.

• Yes, for example, 9.

• Yes, for example, 2.

• No, odd numbers are always prime.

What are all the factors of the number 12?

• 1, 2, 3, 4, 6, 12

• 1, 2, 4, 6, 12

• 12, 24, 36, 48, 60

• Factors go on forever, so we could never list them all.

If a number is divisible by 3, is 3 a factor of that number?

• Yes

• No

• Only if the number is even

• Only if the number is odd

What are the first five multiples of the number 4?

• 4, 8, 12, 16, 20

• 8, 12, 16, 20, 24

• 4, 12, 16, 20, 24

• 4, 8, 10, 14, 18

Is 20 a multiple of 5? How do you know?

• Yes, because 20 divided by 5 equals 4.

• No, because 20 is not divisible by 5.

• Yes, because 20 is an even number.

• No, because 20 is not a prime number.

Can a number ever be a multiple of itself? Explain.

• No, a number cannot be a multiple of itself.

• Yes, because any number times 1 is itself.

• Yes, because any number times 0 is itself.

• No, because multiples are always greater than the number.