Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 16.5 Factors and Multiples **will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 16.5 Factors and Multiples

**Exercises
**

**FIND THE LEAST COMMON MULTIPLE**

Question 1.

8 and 12 ______________

Answer:

Least common multiply of 8 and 12 = 24.

Explanation:

Multiplies of 8 and 12:

2 × 2 × 2 = 8.

2 × 2 × 3 = 12.

=> LCM = 2 × 2 × 2 × 3 = 8 × 3 = 24.

Question 2.

6 and 10 ______________

Answer:

Least common multiply of 6 and 10 = 60.

Explanation:

Multiplies of 6 and 10:

2 × 3 = 6.

2 × 5 = 10.

=> LCM = 2 × 3 × 5 = 6 × 10 = 60.

Question 3.

2 and 7 ______________

Answer:

Least common multiply of 2 and 7 = 14.

Explanation:

Multiplies of 2 and 7:

2 × 1 = 2.

7 × 1 = 7.

=> LCM = 2 × 7 = 14.

Question 4.

3 and 5 ______________

Answer:

Least common multiply of 3 and 5 = 15.

Explanation:

Multiplies of 3 and 5:

3 × 1 = 3.

5 × 1 = 5.

=> LCM = 3 × 5 = 15.

Question 5.

18 and 36 ______________

Answer:

Least common multiply of 18 and 36 = 36.

Explanation:

Multiplies of 18 and 36:

2 × 9 = 18.

2 × 2 × 9 = 36.

=> LCM = 2 × 9 × 2 = 18 × 2 = 36.

Question 6.

9 and 6 ______________

Answer:

Least common multiply of 9 and 6 = 18.

Explanation:

Multiplies of 9 and 6:

3 × 3 = 9.

2 × 3 = 6.

=> LCM = 3 × 3 × 2 = 18.

Question 7.

24 and 36 ______________

Answer:

Least common multiply of 24 and 36 = 72.

Explanation:

Multiplies of 24 and 36:

2 × 2 × 2 × 3 = 24.

2 × 2 × 3 × 3 = 36.

=> LCM = 2 × 2 × 3 × 3 × 2 = 72.

Question 8.

6 and 32 ______________

Answer:

Least common multiply of 6 and 32 = 96.

Explanation:

Common multiplies of 6 and 32:

2 × 3 = 6.

2 × 2 × 2 × 2 × 2 = 32.

=> LCM = 2 × 3 × 2 × 2 × 2 × 2 = 96.

**FIND THE GREATEST COMMON FACTOR
**Question 9.

8 and 24 ______________

Answer:

Greatest common factor of 8 and 24 = 8.

Explanation:

Factors of 8 and 24:

8: 1,2, 4, 8.

24: 1,2,3,4,6,8,12,

=> GCF = 8.

Question 10.

12 and 24 ______________

Answer:

Greatest common factor of 12 and 24 = 12.

Explanation:

Factors of 12 and 24:

12: 1,2,3,4,6,12.

24:1,2,3,4,6,8,12,24.

=> GCF = 12.

Question 11.

12 and 30 ______________

Answer:

Greatest common factor of 12 and 30 = 6.

Explanation:

Factors of 12 and 30:

12: 1,2,3,4,6,12.

30: 1,2,3,5,6,10,15,30.

=> GCF = 6.

Question 12.

9 and 12 ______________

Answer:

Greatest common factor of 9 and 12 = 3.

Explanation:

Factors of 9 and 12:

9: 1,3,9.

12: 1,2,3,4,6,12.

=> GCF = 3.

Question 13.

4 and 10 ______________

Answer:

Greatest common factor of 4 and 10 = 2.

Explanation:

Factors of 4 and 10:

4: 1,2,4.

10: 1,2,5,10.

=> GCF = 2.

Question 14.

16 and 80 ______________

Answer:

Greatest common factor of 16 and 80 = 8.

Explanation:

Factors of 16 and 80:

16: 1, 2,4,8.

80: 1,2,4,5,8,10,16,20,40.

=> GCF = 8.

Question 15.

8 and 60 ______________

Answer:

Greatest common factor of 8 and 60 = 4.

Explanation:

Factors of 8 and 60:

8: 1,2,4,8.

60: 1,2,3,4,5,12,15,20,30.

=> GCF = 4.

Question 16.

6 and 40 ______________

Answer:

Greatest common factor of 6 and 40 = 2.

Explanation:

Factors of 6 and 40:

6: 1,2,3,6.

40: 1,2,4,5,8,10,20,40.

=> GCF = 2.