Factors, Muliples, and Exponents

Factors and Multiples

100

Find all the factors of 32.

1, 2, 4, 8, 16, 32

200

List the first 5 multiples of 13 (include 13).

13, 26, 39, 52, 65

300

Which numbers is 39,702 divisible by? Check the numbers 2 through 10.

2, 3, 6 

400

What is the 23 multiple of 7?

161

500

What number are the following factors for? x represents missing factors.

1, 2, 4, x, 8, 14, 16, x, 56, x

112

Prime and Composite Numbers/Prime Factorization

100

Choose the prime numbers: 14, 9, 17, 21

17

200

Choose the composite numbers: 23, 45, 11, 22, 90

45, 22, 90

300

Define a prime number and a composite number.

Prime Number - A number with only 2 factors, 1 and the number itself.

Composite Number - A number with more than 2 factors

400

Find the prime factorization of 44.

2² x 11 (or 2 x 2 x 11)

500

Find the prime factorization of 284.

2² x 71 (or 2 x 2 x 71)

GCF and LCM

100

Find the GCF of 24 and 30 by listing factors.

GCF = 6

24 - 1, 2, 3, 4, 6, 8, 12, 24

30 - 1, 2, 3, 5, 6, 10, 15, 30  

200

Find the LCM of 15 and 20 by listing multiples.

LCM = 60

15 - 15, 30, 45, 60

20 - 20, 40, 60

300

Find the GCF of 82 and 46 using prime factorization.

GCF = 2

400

Find the LCM of 80 and 25 using prime factorization.

LCM = 400 (2 x 2 x 2 x 2 x 5 x 5)

80 = 2 x 2 x 2 x 2 x 5

25 = 5 x 5 

500

What is the 4th multiple of the GCF of 15 and 40?

20

Exponents/Product Law of Exponents

100

Evaluate 4³.

64

200

Evaluate (2/3)²

4/9

300

Rewrite using the product law of exponents:

6¹² x 4¹²

24¹²

400

17¹⁸ x 17⁵

17²³

500

(ab)³ x (ab)⁴

(ab)⁷

Quotient Law of Exponents/Power to a Power

100

Rewrite using the quotient law of exponents:

13¹⁰ divided by 13⁷

13³

200

56²²/8²²

7²²

300

Rewrite using the power to a power law of exponents:

(6⁹)³

6²⁷

400

(120¹⁴)⁰

120⁰ or 1

500

(28ⁿ)^a

28^na