Divisibility Rules
Prime and Composite
Factors
GCF
Prime Factorization
LCM
100

This number divides evenly into all even numbers.

2

100

A number that has exactly two factors; one and itself.

A prime number

100

Two or more numbers that are multiplied together to create a product.

Factors

100

The GCF of 36 and 48.

12

100

What is the prime factorization of 60? 

2x2x3x5

100

What is the LCM for 7 and 9.

63

200

This number divides evenly into all numbers that end with 5 and 0.

5

200

This number is the only even prime number.

2

200

List all the factors of the number 24.

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

200

The GCF between 30 and 25.

5

200

What is the prime factorization of 20?

2x2x5

200

What is the LCM for 12 and 15

60

300

You do this to a number to decide if the number is divisible by the number 3.

Find the sum of the digits.

300

List the first 5 prime numbers.

2, 3, 5, 7, and 11

300

List all the factors of the number 25.

1, 5, and 25

300

Paul has 16 fish pictures and 12 deer pictures to display. He wants to arrange the pictures in rows with the same numbers of fish and of deer pictures in each row. What is the largest row Paul can make?

4 rows

300

What is the prime factorization of 72?


2x2x2x3x3

300

You buy a lily and an African violet on the same day. You are instructed to water the lily every fourth day and water the violet every seventh day after taking them home. What is the first day on which you will water both plants on the same day?

28th Day

400

These are the two numbers that both need to evenly divide into a number to make the number also divisible by 6.

2 and 3

400

This number is the only whole number that is neither prime, nor composite.

1

400

List all the factors for the number 13.

1 and13

400

The middle school band has 56 members. The high school band has 96 members. The bands are going to march one after the other in a parade. The director wants to arrange the bands into the same number of columns. What is the greatest number of columns in which the two bands can be arranged if each column has the same number of marchers?

8 columns

400
The prime factorization of 25.
What is 5x5?
400

Molly does ten sit-ups every 3 hours and fifteen push-ups every 2 hours. She does 10 sit-ups and 15 push-ups at 8am.  At what time will she do both?

Every 6 hours she will do both, so 2 PM

500

List all factors less than 12 that divide equally into 342.

1, 2, 3, 6, and 9

500

If a number is greater than 10 and divisible by 5, would it be prime or composite?

A composite number

500

List the factors of 30.

1, 2, 3, 5, 6, 10, 15, and 30

500

Megan has 30 brownies and 42 cupcakes to package. She wants to put the same numbers of brownies and of cupcakes in each box. What is the greatest number of boxes she can make? How many cupcakes and how many brownies will each box contain?

6 boxes

each box will have 5 brownies and 7 cupcakes.

500

What is the prime factorization of 99?

3x3x11

500

Hotdogs are sold in packages of 6. Buns are sold in packages of 8.  What is the least number of hotdogs and buns that should be bought to have an equal amount of each?

24