Cake Method
LCM or GCF?
Prime Factorization
Distributive Property
100
What is the GCF of 20 and 16?
4 is the GCF.
100
I have 12 apples and 16 oranges. How many identical snack packs can I make? How many apples and oranges are in the pack?
I can make 4 packs. There are 3 apples and 4 oranges.
100
Write the number sentence that shows the prime factorization of 42.
2 x 3 x 7 = 42
100
Write the equivalent expression using the distributive property: 25 + 45 =
25 + 45 = 5 (5 +9)
200
What is the GCF of 33 and 15?
The GCF of 33 and 15 is 3.
200
Today, Sean and Noah both practiced Khan Academy. Noah practices every 5 days. Sean practices every 7 days. In how many days will they both practice on the same day?
35 days.
200
Write number sentence that shows the prime factorization of 56.
2^3 x 7 = 56
200
Write the equivalent expression using the distributive property: 121 + 66 =
121 + 66 = 11 (11 + 6)
300
What is the LCM of 45 and 30?
90 is the LCM
300
There are 16 7th graders and 24 6th graders in choir. The choir teacher plans to arrange the students in equal rows. Only 7th or 6th will be in each row. What is the greatest number of students that could be in each row?
The rows can have up to 8 people because both 16 and 24 have factors of 8.
300
What number has a prime factorization of 2 x 5 x 7?
2 x 5 x 7 = 70.
300
Work backwards! Write the equivalent expression using the distributive property: 5 ( 2 + 3) =
5 (2+3) = 10 + 15
400
What is the LCM and GCF of 14 and 35?
The GCF if 7. The LCM is 70.
400
Enzo and Beatriz are playing games at their local arcade. Enzo wins 5 tickets from every game, and Beatriz wins 11 tickets from every game. When they stopped playing games, Enzo and Beatriz had won the same number of total tickets. What is the minimum number of games that Enzo could have played?
They are equal when they have 55 tickets. That means Enzo played 11 games.
400
What number has a prime factorization of 2^3 x 5^2?
200 is 2^3 x 5^2
400
Write the equivalent expression using the distributive property: 56 + 42 + 91
56 + 42 + 91 = 7 (8 + 6 + 13)
500
The LCM of two number is 72. The GCF is 6. What are the two numbers?
18 and 24 have a GCF of 6 and an LCM of 72. 6 and 72 have a GCF of 6 and an LCM of 72.
500
Peter's Party Zone sells cups in packages of 6 and plates in packages of 8. Shaniya is hosting a birthday party for her little sister and wants to have the same number of each item. What is the least number of packages of plates Shaniya needs to buy?
They need 24 of each. That means Shaniya will buy 3 packs of plates.
500
What is the value of the (not prime) 4^2 x 5^3?
2000 is 4^2 x 5^3
500
Work backwards! Write the equivalent expression using the distributive property: 4 ( 13 - 6 - 3) =
4 (13 - 6 - 3) = 52 - 24 - 12