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Understanding Factors Worksheet

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Understanding Factors Worksheet

Arrays and factors illustration

📊 Part 1: Arrays and Fact Families

1. Look at this array of 12 dots arranged in 3 rows of 4. Write all the multiplication and division facts for this array:

Multiplication facts: _______ × _______ = _______ and _______ × _______ = _______

Division facts: _______ ÷ _______ = _______ and _______ ÷ _______ = _______

2. Draw all possible rectangular arrays for the number 10 using dots or squares:
3. From your arrays above, list all the factors of 10:

Factors of 10: _________________________________

4. Which of these numbers are factors of 18? Circle all correct answers:

2

4

6

8

9

12

🔢 Part 2: Prime and Composite Numbers

5. Complete the definitions:

A prime number has exactly _______ factors: _______ and _______.

A composite number has factors other than _______ and _______.

6. For each number below, find all factors and classify as prime or composite:

Number 7:

Factors: _________________________________

Classification:

Prime
Composite

Number 15:

Factors: _________________________________

Classification:

Prime
Composite

7. Explain why 13 is a prime number:
8. Circle all the prime numbers between 10 and 20:

10    11    12    13    14    15    16    17    18    19    20

🎯 Part 3: Problem Solving

9. Sarah arranges 24 counters into equal rows. She makes 4 rows. How many counters are in each row? Write the multiplication sentence:
10. Which number below has exactly 3 factors?

6

9

12

15

11. Game Strategy: If your partner chooses 12, what are three good numbers you could choose next? Explain your thinking:
12. Challenge: Find a composite number between 20 and 30 that has exactly 6 factors. Show your work:

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