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

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.