Factors and Multiples Exploration

Name:

Date:

📚 Part 1: Understanding Factors and Multiples

1. Which of the following best describes a factor?

A number that divides evenly into another number

A number that is added to another number

A number that is always larger than the original

2. The number 24 can be divided evenly by which of these numbers? (Tick all that apply)

3. Which number is a multiple of 7?

4. Complete this sentence: "If 4 × 9 = 36, then 4 is a _______ of 36 and 36 is a _______ of 4."

4 is a _____________ of 36 and 36 is a _____________ of 4.

5. Complete this table by finding all the factors of each number:

Number: 18

Factors of 18: ________________________________

Number: 20

Factors of 20: ________________________________

Common factors of 18 and 20: ________________________________

6. List the first 6 multiples of each number:

Multiples of 6: _____, _____, _____, _____, _____, _____

Multiples of 9: _____, _____, _____, _____, _____, _____

Common multiples from your lists above: ________________

7. Draw a factor tree to find the prime factors of 30:

8. Explain in your own words the difference between a factor and a multiple. Use an example to support your explanation.