Grade 6 Facts & Factors worksheet
from Gradelings · Name: ______________________
How to explain it
- A factor divides a number evenly. 3 and 4 are factors of 12.
- The greatest common factor (GCF) is the biggest factor two numbers share.
- The least common multiple (LCM) is the smallest multiple they share.
Example: Find the GCF of 12 and 18. Factors of 12: 1, 2, 3, 4, 6, 12. Factors of 18: 1, 2, 3, 6, 9, 18. The biggest shared one is 6. Answer: 6
Question 1
What number goes in the box?
4 × = 24
- 6
- 8
- 4
- 7
6
Hint: Divide to find a missing factor: 24 ÷ 4.
Question 2
Leo has 42 granola bars and 18 juice boxes. Leo wants to pack them into identical bags with nothing left over. What is the greatest number of bags Leo can make?
- 18
- 3
- 6
- 7
6
Hint: Identical bags with nothing left over means the number of bags must divide both 42 and 18. Find the greatest common factor.
Question 3
Which number is a factor of 48?
- 16
- 10
- 15
- 5
16
Hint: A factor divides 48 with no remainder. Try dividing 48 by each choice. For example, 48 ÷ 16 = 3 exactly.
Question 4
Which of these numbers is prime?
- 49
- 37
- 27
- 39
37
Hint: A prime number has exactly two factors: 1 and itself. Test each number by dividing by 2, 3, 5 and 7. For example, 27 = 3 × 9, so 27 is not prime.
Question 5
What is the greatest common factor (GCF) of 42 and 12?
answer box
6
Hint: List the factors of each number. The GCF is the biggest number that appears in both lists.
Question 6
What is 9 × 8?
9 × 8 = ?
answer box
72
Hint: Use tens: 8 × 10 = 80, then take away one 8.
Question 7
What is 35 ÷ 5?
35 ÷ 5 = ?
answer box
7
Hint: Think multiplication: 5 × ? = 35. Which fact do you know?
Question 8
What is the least common multiple (LCM) of 7 and 6?
answer box
42
Hint: List multiples of the bigger number: 7, 14, 21… Stop at the first one that 6 also divides into evenly.
Question 9
What is 2 × 3?
2 × 3 = ?
answer box
6
Hint: Times 3 is double plus one more group: 2 × 2 = 4, then add 2.
Question 10
Priya has 14 apples and 35 oranges. Priya wants to pack them into identical bags with nothing left over. What is the greatest number of bags Priya can make?
- 7
- 14
- 5
- 2
7
Hint: Identical bags with nothing left over means the number of bags must divide both 14 and 35. Find the greatest common factor.
Answer key
- 1. 6
- 2. 6
- 3. 16
- 4. 37
- 5. 6
- 6. 72
- 7. 7
- 8. 42
- 9. 6
- 10. 7
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