GCF/LCM
Divisibility
Exponents
Prime Factorization
Scientific Notation
100

What is the GCF of 12 & 8? 

4

100

List all the factors by which 113,724 is divisible (factors: 2, 3, 4, 5, 6, 9, 10).

2, 3, 4, 6, 9

100

Write a number in exponential form with a base of 9 and an exponent of 6


9^6

100

Find the prime factorization of 68.  Write in both expanded notation and exponential notation.


2*2*17 and 2^2 17

100

Write  2.05 * 10^4 

in standard notation.

20,500

200

What is the LCM of 12 & 8? 

24

200

List all the factors by which 28,145 is divisible by (2, 3, 4, 5, 6, 9, 10).

5

200

Write  4*4*4  using an exponent

4^3

200

Write the prime factorization using exponents  2*3*5*2*2*3*5 


2^3*3^2*5^2


200

Write in scientific notation: 7,000,000,000.

7*10^9

300

What is the GCF between 

2x^2y^3 and 3xy^?

xy

300

List all the factors by which 6,832 is divisible (2, 3, 4, 5, 6, 9, 10)

2 and 4

300

Write 11^3 in expanded notation.

What is 11 x 11 x 11?

300

Find the prime factorization of 88.  Write in both expanded notation and exponential notation.

What is

2*2*2*11

 and

2^3*11

?

300

Write in standard notation:   2.01*10^8 

201,000,000

400

What is the LCM of 

2x^2y^3 and 3xy? 

6x^2y^3

400

Write a 3 digit number that is divisible by 2 and 3. Explain how you know this number is divisible by 2 and 3.

2 rule: even

3 rule: add up all the numbers and divide by 3

400

Write in standard notation: 8^6

What is 262144?

400

Write the algebraic factorization of  144h^2i^3j^2 .  

12*12*h*h*i*i*i*j*j

400

Write in scientific notation: 0.000000921

9.21*10^-7

500

Find the LCM of 

3a^2b^2, 4ab^3 and 5 ab^3c^2

60a^2b^3c^2

500

Write a 4 digit number that is divisible by both 4 and 9. Explain how you know this number is divisible by 4 and 9.

4 rule: last two numbers are divisible by 4

9 rule: add up all the numbers and divide by 9

500

Write 128 using exponential notation.

2^7

500

Write the prime factorization of 167.

1 x 167

500

Compare using <, >, or =.

3.7*10^-6   &   0.000000037

3.7*10^-6 > 0.000000037

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