FACTORING MONOMIALS WORKSHEET

Write the prime factorization of each monomial given below. Do not use exponents.

1)  25n²

2)  18xy

3)  12y

4)  21y²

5)  81a

6)  92q

7)  36x³

8)  24h

9)  48x²

10)  x²y³

11)  20b³c²

12)  82ab

13)  91yz²

14)  66y

15)  -18g⁴h

Answers

1. Answer : 

25n²  =  5 ⋅ 5 ⋅ n ⋅ n

2. Answer : 

18xy  =  2 ⋅ 3 ⋅ 3 ⋅ x ⋅ y

3. Answer : 

12y  =  2 ⋅ 2 ⋅ 3 ⋅ y

4. Answer : 

21y²  =  3 ⋅ 7 ⋅ y ⋅ y

5. Answer : 

81a  =  3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ a

6. Answer : 

92q  =  2 ⋅ 2 ⋅ 23 ⋅ q

7. Answer : 

36x³  =  2 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ x ⋅ x ⋅ x

8. Answer : 

24h  =  2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ h

9. Answer : 

48x²  =  2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ x ⋅ x

10. Answer : 

x²y³  =  x ⋅ x ⋅ y ⋅ y ⋅ y

11. Answer : 

20b³c²  =  2 ⋅ 2 ⋅ 5 ⋅ b ⋅ b ⋅ b ⋅ c ⋅ c

12. Answer : 

82ab  =  2 ⋅ 41 ⋅ a ⋅ b

13. Answer : 

91yz²  =  7 ⋅ 13 ⋅ y ⋅ z ⋅ z

14. Answer : 

66y  =  2 ⋅ 3 ⋅ 11 ⋅ y

15. Answer : 

-18g⁴h  =  -1 ⋅ 2 ⋅ 3 ⋅ 3 ⋅ g ⋅ g ⋅ g ⋅ g ⋅ h

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