Advanced Factors Challenge

Name:

Date:

🔍 Part 1: Factor Detective Multiple Choice

1. Which of these numbers is NOT a factor of 48?

2. How many factors does 36 have in total?

7 factors

8 factors

9 factors

10 factors

3. Which statement about prime numbers is correct?

Prime numbers have exactly 3 factors

Prime numbers have exactly 2 factors

Prime numbers have no factors

All odd numbers are prime

4. Select ALL the factor pairs of 24:

1 × 24

2 × 12

3 × 9

4 × 6

5 × 5

🧮 Part 2: Factor Analysis & Problem Solving

5. Create a factor tree for 72. Show all your working:

6. Maya says "Every even number has 2 as a factor." Is she correct? Explain your reasoning with examples:

Sentence starter: Maya is ________ because _________________________

7. Find a number between 20 and 30 that has exactly 6 factors. List all the factors:

My number is: _______

The 6 factors are: _____, _____, _____, _____, _____, _____

8. Challenge: If a rectangular array has 5 rows and some columns, and the total number of objects is 45, how many columns are there? Show your division:

Number of columns: _______

🎯 Part 3: Extension & Creative Thinking

9. Extension Activity: Find two different numbers that both have exactly 4 factors each. Explain why they each have 4 factors:

10. Real-world Connection: A baker has 60 cupcakes to arrange in rectangular trays. List 3 different ways she could arrange them (rows × columns) and explain which arrangement you think is best for display:

Sentence starter: The baker could arrange them as _______ because factors of 60 include _______

11. Investigation: Compare the factors of 18 and 20. What do you notice about their common factors?

Factors of 18: _________________________________

Factors of 20: _________________________________

Common factors: _______________________________