Vocabulary
Factors and Prime
Prime Factorization
Exponents
Divisibility, GCF, and LCM
Miscellaneous
100
In the number 3^4, 3 is the ______________________.
Base
100
Find all the factors of 36. Show all working
1, 2, 3, 4, 6, 9, 12, 18, 36
100
Write 12 as a product of prime factors. Use exponents if needed.
12 = 22 x 3
100
Write 42 in expanded form and solve.
4 x 4 = 16
100
Is 246 divisible by 2? How do you know?
Yes. It ends in 6, an even digit.
100
Who's that Pokémon? 
Squirtle!
200
The __________________ tells how many times to use the base as a factor.
Exponent
200
What is the difference between a prime number and a composite number?
A prime number has exactly two different factors. A composite number has more than two factors.
200
Write 48 as a product of prime factors. Use exponents if needed.
48 = 24 x 3
200
Write 3 × 3 × 3 × 3 x 3 in exponential form and solve.
35 = 243
200
Is 315 divisible by 3? Explain using the divisibility rule.
Yes. 3 + 1 + 5 = 9, which is divisible by 3.
200
What material do you need to mine to craft a diamond pickaxe in Minecraft? Give me the exact number :D
3 diamonds with 2 sticks! 
300
A number with exactly 2 factors, 1 and itself is _________
Prime
300
A student says the factors of 24 are 1, 2, 3, 6, 8, and 24. What factors did the student miss?
4 and 12
300
Write 60 as a product of prime factors. Use exponents if needed.
60 = 22 x 3 x 5
300
Write 73 in expanded form and solve.
7 x 7 x 7 = 343
300
Find the greatest common factor (GCF) of 12 and 18. Show all work.
6
300
What is the largest desert in the world?
Antarctica: A desert is defined by its low precipitation (25 cm or less per year) rather than high temperatures or sand. Antarctica receives very little moisture, making it both the largest and driest desert on Earth.
400
The number 34 is written in ________________ form.
Exponential
400
True or false? Multiplying two prime numbers always gives a composite number. Explain your answer.
True. For example, 3 × 5 = 15, which has more than two factors.
400
Write 72 as a product of prime factors. Use exponents if needed.
72 = 23 x 32
400
A student says 23 = 2 x 3 = 6. Is she correct? Explain.
The exponent tells us how many times to multiply the base by itself. 23 = 2 × 2 × 2 = 8.
400
Find the lowest common multiple (LCM) of 6 and 8. Show all work.
24
400
What is the highest-grossing film of all time?
Avatar (2009)
500
The number 34 is called a
Power
500
Using a factor tree, find ALL the factors of 42. Show all working.
Factors: 1, 2, 3, 6, 7, 14, 21, 42
500
A student writes 40 = 2 × 4 × 5 as its prime factorization. Is he correct? Explain.
4 is not prime. The correct answer is 40 = 23 × 5.
500
A number has the prime factorization 23×32. What is the number? List all of its factors.
23×32 = 2 x 2 x 2 x 3 x 3 = 8 x 9 = 72.
Factors are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
500
Bell A rings every 12 minutes while Bell B rings every 14 minutes. How many minutes will pass before they ring together again? Show all work.
Use LCM. The LCM of 12 and 14 is 84.
500
Name that tune!
This is Halloween!!