FACTORING MONOMIALS WORKSHEET

List all the Factors of the following monomial expression

Problem 1 :

a)  6 a b²

b)  52 w

c)  2 r³ s

d)  7 x y z

Solution

Find the degree, coefficient and variables of following monomial expression

Problem 2 :

Solution

Find the Greatest Common Factors of the following Monomial expression

Problem 3 :

12 m² n³, 70 m³ n

Solution

Problem 4 :

72 a³ b², 86 a

Solution

Problem 5 :

44 m² n, 48 m n²

Solution

Problem 6 :

a² b³, a b³

Solution

Problem 7 :

3 x, 7 x y²

Solution

Problem 8 :

4 r s², 27 s t³

Solution

Problem 9 :

18 w x², 45 w x

Solution

Problem 10 :

12 y², 15 y³, 5 y

Solution

Problem 11 :

r s³, s³ t, r² s t²

Solution

Problem 12 :

Find the GCF of the numbers.

a)  35, 56, 63

b)  30, 60, 78

c)  42, 70, 84

Solution

Problem 13 :

You are making balloon arrangements for a birthday party. There are 16 white balloons and 24 red balloons. Each arrangement must be identical. What is the greatest number of arrangements you can make using every balloon?

Solution

Problem 14 :

A science museum makes gift bags for students using 168 magnets, 48 robot figurines, and 24 packs of freeze-dried ice cream.

What is the greatest number of gift bags that can be made using all of the items?

How many of each item are in each gift bag?

Solution

Find the least common multiple of the monomials given :

Problem 1 :

12 x y², 39 y³

Solution

Problem 2 :

33 u, 9 v² u

Solution

Problem 3 :

30 y x, 24 y² x

Solution

Problem 4 :

30 v, 40 u² v

Solution

Problem 5 :

30 a b², 50 b²

Solution

Problem 6 :

30 x y³, 20 y³

Solution

Problem 7 :

21b, 45ab

Solution

Problem 8 :

38 x², 18 x

Solution

Problem 9 :

36 m⁴, 9 m², 18 n m²

Solution

Problem 10 :

36m²n², 30n², 36n⁴

Solution

Problem 11 :

12xy, 8y², 8x²

Solution

Problem 12 :

32x², 24yx², 16yx²

Solution

Find the greatest common factor and least common multiple of the following monomials :

Problem 13 :

28 y, 35x²y

Solution

Problem 14 :

12m³, 36m²

Solution

Problem 15 :

21 u v², 9v

Solution

Problem 16 :

95 b³, 38 b

Solution

1)  LCM = 156xy³

2)  LCM = 99v²u

3)  LCM = 120y²x

4) LCM = 120u²v

5)  LCM = 150ab²

6) LCM = 60xy³

7)  LCM = 315ab

8)  LCM = 342x²

9)  LCM = 36nm⁴

10) LCM = 180n⁴m²

11)  LCM = 24x²y²

12)  LCM = 96yx²

13)  

Least common multiple = = 140x² y

Greatest common factor = 7x

14)  

Least common multiple = 36 m³

Greatest common factor = 12 m²

15)  

Least common multiple = 63 u v²

Greatest common factor = 3 v

16)  

Least common multiple = 190 b²

Greatest common factor = 19b