Mrs. Everett
4 th grade math

I CAN FIND ALL THE
FACTOR PAIRS,
MULTIPLES, PRIME
NUMBERS, AND
COMPOSITE NUMBER FOR
WHOLE NUMBER UP TO
100.

 What is a factor? How do I determine the factors of a number?
 What is a multiple? How do I determine the multiples of a number?
 What is a prime number? How do I determine a number is a prime number?
 What is a composite number? How do I determine a number is a composite number?


Factors are numbers that are multiplied.

Multiples are the product of a given whole number and another whole number.

A prime number cannot be divided by any other number other than 1 and itself.

A composite number can be divided by other numbers besides 1 and itself.

What does
mean?
…find all the numbers you can multiply together to get that number as the product.

Remember, you are being asked to find all the numbers that can be multiplied together to get the answer 27.
27: 1, 3, 9, 27
1 X 27
3 X 9
HINT:
Always write factors from least to greatest.

1.
Find the factors:
2.
18
24
3.
4.
21
52

What does COMMON mean?
What does FACTORS mean?
So…..
COMMON FACTORS are:
Factors that two or more numbers have in common

16
1 X 16
2 X 8
4 X 4
Hint: Once you repeat a number you’re done!!
24
1 X 24
2 X 12
3 X 8
4 X 6
16 : 1, 2, 4, 8, 16 24 : 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 4, 8

What are the common factors of:
1.
6 & 9
2.
3.
24 & 48
25 & 45

The greatest factor that both numbers have in common.
GCF = Greatest Common Factor

9
1 x 9
3 x 3
9 : 1,3,9
12
1 x 12
2 x 6
3 x 4
12: 1,2,3,4,6,12

Find the GCF:
1.
2.
12 & 26
9 & 21

1.
List the factors:
36
2.
3.
18
27
1.
List the common factors:
2.
18, 22
52, 36
1.
3.
14, 9
List the GCF:
2.
25, 40
30, 42

A multiple is the product of a given whole number and another whole number.
4: 4, 8,12, 16,20, 24…

5: 5, 10, 15, 20, 25, 30…

7: 7, 14, 21, 28,35,42…

You use the
INVERSE OPERATION of multiplication to see if a specific number is a multiple of the given number.
Example:
Is 108 a multiple of 6?

A multiple that 2 or more numbers have in common.
Example: Find the first 3 common multiples of 3 and 6.
3:
6:
3, 6,9,12, 15, 18…
6, 12, 18, 24, 30, 36…
CM: 6, 12, 18

What strategy would you use?
That’s Right! Division
36 ÷ 6= ?
36 ÷ 9=?
Yes! 36 is a common multiple of 6 and 9.

1. Is 42 a common multiple of 6 and 9?
List 10 multiples of each number and circle the common multiples.
2. 3 and 6
3. 4 and 12
4. 2 and 5

The smallest multiple that 2 or more numbers have in common.
LCM = Least Common Multiple
Example: Find least common multiples of 6 and 8.
6:
8:
6,12,18,24,30,36…
8, 16,24,32,40,48…
LCM: 24

List the first 5 multiples of each number.
1.
2.
2
4
3. Name the LCM of the following numbers:
20 and 5
4. How many common multiples less than 50 do 8 and 9 have? Name them.

A prime number cannot be divided by any other number but 1 and itself!
Is there anything they can be multiplied together to make 13?

Can you think of some other prime numbers?

A composite number can be divided by any other number besides 1 and itself!
24 ÷ 2 = 12


Think of 2 composite numbers.

Turn to your neighbor and share those numbers and explain why they are composite numbers.


Are there more prime numbers or composite numbers? WHY?
Turn to your neighbor and share those numbers and explain why they are composite numbers.