Prime Factorization, HCF, & LCM

Prime Factorization

1

Find the prime factorization of 16

16 = 2⁴

2

Find the prime factorization of 25

25 = 5²

3

Find the prime factorization of 54

54 = 2 x 3³

4

Find the prime factorization of 77

77 = 7 x 11

5

Find the prime factorization of 84

84 = 2² x 3 x 7

HCF

1

Find the HCF by listing factors

6, 15

3

2

Find the HCF by listing factors

27, 45

 9

3

Find the HCF by listing factors

30, 48

6

4

Find the HCF by listing factors

28, 48, 64

 4

5

Find the HCF by listing factors

42, 70, 84

14

Random

1

864 divided by 4

216

2

859 x 26

22,335

3

A school bus travels 48km each day. How many kilometers does it travel in 5 school days?

240

4

Write the value of the 8 in the number 7,845,302

800,000

5

write 243,508 in expanded form using powers of ten. 

(2x10^5)+(4x10^4)+(3x10^3)+(5x10^2)+(0x10^1)+(8x10^0)

Prime Numbers

1

Find the prime factors of 51

3, 17

2

Name 1 prime number between 120 and 130

127

3

Name every prime number between 80 and 100

83, 89, 97

4

Name every prime number between 1 and 40

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

5

Find the prime factors of 320

2, 2, 2, 2, 2, 2, 5

LCM

1

Find the LCM by the prime factorization

16, 20

2x2x2x2x5 = 2⁴ x 5 = 80

2

Find the LCM by the prime factorization

6, 45

2x3x3x5 = 2 x 3² x 5 = 90

3

Find the LCM by the prime factorization

10, 12

2x2x3x5 = 2² x 3 x 5 =60

4

Find the LCM by the prime factorization

18, 27

2x3³ = 54

5

Find the LCM by the prime factorization

9, 10, 28

2² x 3² x 5 x 7 = 1,260