Factor & Multiple Explorer — Worksheet

Factor & Multiple Explorer

Worksheet

Open the Factor & Multiple Explorer module. Set the two numbers for each question, then read the factor columns, the multiple lists, or the tape to answer below.

Name: Date:

Part A: Common factors

1. Set the first number to 24 and the second to 36 in Common factors. Which shared factor is the greatest? 1 pt
  • 6
  • 12
  • 18
  • 24
2. How many factor pairs does 24 have? Count the rows in the first column. 1 pt
Answer:
3. Set the numbers to 18 and 30. What is the greatest common factor? 1 pt
Answer:
4. Set the numbers to 16 and 40. What is the greatest common factor? 1 pt
Answer:

Part B: Common multiples

5. Switch to Common multiples and set the numbers to 4 and 6. What is the least common multiple? 1 pt
  • 6
  • 10
  • 12
  • 24
6. Set the numbers to 3 and 5. What is the least common multiple? 1 pt
Answer:
7. Set the numbers to 6 and 8. What is the least common multiple? 1 pt
Answer:
8. Set the numbers to 9 and 12. What is the least common multiple? 1 pt
Answer:

Part C: Factoring a sum

9. Switch to Distributive and set the numbers to 24 and 36. Which is 24 + 36 with the greatest common factor pulled out front? 1 pt
  • 6 × (4 + 6)
  • 12 × (2 + 3)
  • 4 × (6 + 9)
  • 2 × (12 + 18)
10. Set the numbers to 36 and 8. Write 36 + 8 as a common factor times a sum with no common factor. 1 pt
  • 8 × (4 + 1)
  • 2 × (18 + 4)
  • 4 × (9 + 2)
  • 4 × (8 + 2)
11. Explain why the greatest common factor is the number you pull out when factoring a sum. 2 pts