Factors and Multiples
Divisibility
GCF
LCM
GCF and LCM Word Problems (double points!)
100

What are the factors of 10?

1,2, 5, 10

100

Can the number 87 be divided by 2? Why?

No because 87 is not even

100

Find the GCF of 10 and 6.

2

100

Find the LCM of 10 and 5

10

100

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?

Sara tiene 16 flores rojas y 24 flores amarillas. Quiere hacer ramos con la misma cantidad de flores de cada color en cada ramo. ¿Cuál es la mayor cantidad de ramos que puede hacer?

8 bouquets

200

List the first 5 multiples of 6

6,12,18,24,30

200

Can the number 685 be divided by 5? Why?

Yes because it ends with a 5

200

Find the GCF of 18 and 36.

9
200

Find the LCM of 6 and 8.

24

200

Beginning at 8:30 A.M., tours of the National Capitol and the White House begin at a tour agency. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?

A partir de las 8:30 a. m., las visitas guiadas al Capitolio Nacional y a la Casa Blanca comienzan en una agencia de viajes. Las visitas guiadas al Capitolio Nacional salen cada 15 minutos. Las visitas guiadas a la Casa Blanca salen cada 20 minutos. ¿Con qué frecuencia salen las visitas guiadas a la misma hora?

Every 60 minutes

300

What are the factors of 24

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

300

Can the number 92 be divided by 3? Why?

No because 9+2 is 11 and 11 is not a multiple of 3
300

Find the GCF of 25 and 40.

5

300

Find the LCM of 3 and 11.

33

300

 Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatest number of cookies possible, how many plastic containers does she need?

Kiara horneó 30 galletas de avena y 48 galletas con chispas de chocolate para envasarlas en recipientes de plástico para sus amigos de la escuela. Quiere dividir las galletas en recipientes idénticos para que cada recipiente tenga la misma cantidad de cada tipo de galleta. Si quiere que cada recipiente tenga la mayor cantidad posible de galletas, ¿cuántos recipientes de plástico necesita?

6 containers

400

What are the first 4 multiples of 15?

15, 30 , 45, 60

400

Can 558 be divided by 6? Why?

Yes because it can be divided by 2 (even) and 3 (18 is a multiple of 3)

400

Find the GCF of 100 and 25.

25.

400

Find the LCM of 7 and 8.

56

400

Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy?

Los lápices vienen en paquetes de 10. Los borradores vienen en paquetes de 12. Phillip quiere comprar la menor cantidad de lápices y borradores posible para tener exactamente 1 borrador por lápiz. ¿Cuántos paquetes de lápices y borradores debería comprar Phillip?

6 packages of pencils, 5 packages of erasers

500

List 3 examples of prime numbers

7, 11, 13... 

500

Can 328 be divided by 8? Why?

Yes because 320 can be divided by 8 and then if you count up by 8 you get 328.

500
Find the GCF of 15, 75, and 10

5

500

Find the LCM of 12, 5, and 2.

60

500

Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

Bridget tiene clases de natación cada cinco días y clases de buceo cada tres días. Si tuvo clases de natación y de buceo el 5 de mayo, ¿cuándo será la próxima fecha en la que tenga clases de natación y de buceo?

May 20th