Wesley's Factors and Multiples

Prime Factorization

100

What is the prime factorization of 50?

5 x 5 x 2

5² x 2

200

Prime factorization of 33

3x11

300

Prime factorization of 45

5 x 3 x 3

400

What is the prime factorization of 63?

7 x 3 x 3

7 x 3²

500

Prime factorization of 520

2 x 2 x 2 x 5 x 13

2³ x 5 x 13

LCM

100

What is the LCM of 90 and 50

LCM(90,50)

LCM (90,50)=450 

90, 180, 270, 360, 450                                   

 50, 100, 150, 200, 250. 300, 350, 400, 450, 500

200

What's the least common multiple of 30 and 12?

60  

2x3x5x2

30, 60, 90, 120

12, 24, 36, 48, 60

300

LCM (10,12)

60  = 5 X 2 X 6

10, 20, 30, 40, 50, 60

12, 24, 36, 48, 60

400

LCM (24, 14)

168  (3 x 2 x 2 x 2 x 7)

24, 48, 72, 96, 120, 144, 168

14, 28, 42, 56,  70, 84, 98, 112, 126, 140, 154, 168

500

LCM (36, 21)

252 (3 x 2 x 2 x 3 x 7)

36, 72, 108, 144, 180, 216, 252

21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252

GCF

100

What is the Greatest Common Factor of 30 & 12

6

3x2

200

GCF of 10, 35

5

300

GCF (42, 36)

6

400

 GCF (124, 62)

62

500

GCF (12, 27, 30, 60)

3

Distributive Property

100

Rewrite 7(3) + 7(6).

7x(3+6)

7x9

63

200

Rewrite 9 (7-3)=

9x(7)-9(3)=

300

Rewrite 3d(6+4)

3d(6)+3d(4)

400

Rewrite (10-6)5

5(10)-5(6)

500

Rewrite 9y(5x7) + 3(5-2)

9y(5)x9y(7)+3(5)-3(2)

Exponents, Order of Operation

100

What is 1¹⁵?

1

200

5³ (6+3x2).  What do you do first, second, and third?

First: exponents  5³

Second: parenthesis 3x2

Third: parenthesis 6+6

300

Solve 2⁴ 

16

400

Solve 2⁴ (4² - 3x2)

Exponents first so 

16 (16 - 3 x2)

16 (16-6)

16(10)

160

500

Solve 5x2(4² / 2+2)

exponent

5x2(16 / 2 + 2)

5x2(8 + 2)

5x2(10)

10(10)

100