Division, Prime Factorization, & Order of Operations

Cat 1- Divisibility Rules

100

True or false: 10 is divisible by 2.

True

200

What is 15 divisible by? 2,3,5,10?

3,5

300

What is 20 divisible by? 

2, 3, 5, 10?

2, 5, 10

400

Which number is divisible by both 3 and 5?

a. 102

b. 40

c. 45

c. 45

500

What is 144 divisible by? 

2,3,5, 10?

2, 3

Cat 2- Factors and Multiples

100

List 2 factors of the number 10.

Possible answers. 1, 2, 5, 10.

200

List 3 multiples of 20.

Possible answers. 20, 40, 60, 80, 100.....

300

True or false: 6 is a factor of 24.

True!

400

True or false: 32 is a factor of 8.

False- it is a multiple.

500

Which of the following is NOT true? (answer may contain more than one letter)

a. 20 is a factor of 5.

b. 5 is a factor of 20.

c. 20 is divisible by 5.

d. 5 is a multiple of 20.

a and d.

Cat 3-Prime Factorization

100

Is 15 prime, composite, or neither?

Composite

200

Is 1 prime, composite, or neither?

Neither

300

2²*7 is the prime factorization of what number?

What is 38?

400

Find the prime factorization of 80. Use exponents as necessary.

2⁴*5

500

Find the prime factorization of 150. Use exponents as necessary.

2*3*5²

Cat 4-Exponents

100

Write 3³ as a multiplication sentence (expanded form).

3*3*3

200

Write the exponent form of 4*4*4*4*4

4⁵

300

Find the value of 6²

36

400

Find the value of 3³.

What is 27?

500

Write the exponent form of 8.

2³

Cat 5-Order of Operations

100

What operation is solved first?

81÷(11-4) + 4²

Subtraction because its in grouping symbols.

200

(17 - 10) + 3²

16

300

3(27÷9+5)

24

400

(2+1)²+(15-5)

19

500

5²+36÷(3×4)-8

20