Divisibility Rules
Prime and Composite
Factors
GCF & LCM
Prime Factorization
100
This number divides evenly into all even numbers.
What is 2.
100

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

What is a prime number.

100

What are numbers multiplied together to create a product.

factors.

100

What is the GCF of 36 and 48?

12

100

2x2x3x5

60

200
This number divides evenly into all numbers that end with 5 and 0.
What is 5.
200

This number is the only even prime number.

What is 2.

200

How may factors are in 24? List the factors of the number 24.

What is 8 (1, 2, 3, 4, 6, 8, 12, 24)

200

Find the LCM for 12 and 15

What is 60.

200

The prime factorization of 20. Use exponents when needed.

What is 2x2x5? 2^2 x 5

300
You do this to a number to decide if the number is divisible by the number 3.
What is find the sum of the digits.
300

These are the first 5 prime numbers.

What are 2, 3, 5, 7, 11.

300

List the factors of the number 25.

What is (1, 5, 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? (GCF)

4 rows

300

2x2x2x3x3

What is the prime factorization of 72? 

400
These are the two numbers that both need to evenly divide into a number to make the number also divisible by 6.
What are 2 and 3.
400

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

What is 1.

400

Use the distributive property to create a simple way to find a solution to this problem. 

6 x 28 =  6  x ( ___ + ___ )

               (6 x ___) + (6 x ___)

               

What is 6 x (20 + 8)

           (6 x 20) + (6 x 8)

            120 + 48

            168

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 them both again? (HINT Find LCM)

Every 6 hours she will do both, so 2 PM

400
The prime factorization of 25.
What is 5x5?
500

Which of these numbers (2,3,4,5,6,9,10) divide equally into 342.

What are 2, 3, 6, 9

500

A number that is greater than 10 and divisible by 5 be prime or composite.

What is composite.

500

use the distributive property to create a simple way to find the solution to this problem.

7 x 27  = ___  x ( ___ + ___ )

              (7 x ___)  + (7 x ___)

               

What is 7 x (20 + 7) ?

            (7 x 20) + (7 x 7)

             140 + 49

              189


500

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

What is 24?

4 packages of hotdogs 4 x 6 = 24

3 packages of buns 3 x 8 = 24

500

3x3x11

What is the prime factorization of 99?