6th Grade: Chapter 1 Whole and Prime Numbers and Prime Factorization

Prime Factors

100

Express 45 as a product of its prime factors.

45= 3 x 3 x 5

200

Express 54 as a product of its prime factors. 

54 = 2 x 3 x 3 x 3

300

750 is 2 x 3 x 5 x 5 x 5 when written as a product of its prime factors. Write 3,000 as a product of its prime factors. 

3,000 = 4 x 750

         = 4 x 2 x 3 x 5 x 5 x 5

         = 2 x 2 x 2 x 3 x 5 x 5 x 5

400

63,000 can be expressed in terms of its prime factors as 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7. Write 6,300 as a product of its prime factors. 

63,000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7

6,300 = 63,000 / 10

2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 / 2 x 5

= 2 x 2 x 3 x 3 x 5 x 5 x 7

Common Multiples and Common Factors

100

Find the common factors of each pair of numbers.

18 and 50

1 and 2

200

Find the first 3 common multiples of each pair of numbers. 

9 and 21

63, 126, and 189

300

Find the common factors of each pair of numbers.

36 and 90

1, 2, 3, 6, 9, and 18

400

Find the first 3 common multiples of each pair of numbers. 

12 and 18

36, 72, 108

GCF

100

Find the GCF. 

42 and 54

GCF=6

200

Find the GCF. 

49 and 70

GCF=7

300

Find the GCF. 

12, 48, and 60

GCF=12

400

Find the GCF. 

14, 28, and 49

GCF=7

LCM

100

Find the LCM. 

8 and 12

LCM=24

200

Find the LCM. 

18 and 30

LCM=90

300

Find the LCM. 

12 and 20

LCM=60

400

Find the LCM. 

14, 28, and 49

LCM=196

Squares & Cubes

100

Find the square and cube of 7. 

7² = 49

7³ = 343 

200

Find the square of 23. 

529

300

Find the value of the expression.

3² + 7³ + 4³ 

416

400

Find the value of the expression.

5³ x 2² - 4³

436