6th Grade Math Textbook, Progress

3

Numeration III

Factors, Multiples, and Divisibility

3 
 0  0 3 
 4  12 3 
 8  24

Factors are numbers that are

multiplied to find a product.

To find all the factors of a number,

use multiplication sentences.

Find all the factors of 20.

8 
 3  24

factors

4 
 2 
 3  24

factors

5 
 4  20

10 
 2  20

20 
 1  20

Factors of 20:

1 , 2 , 4 , 5 , 10 , 20

The multiples of a number are the products of that number

and any whole number.

Multiples of 3: 0, 3, 6, 9, 12, 15, 18, 21, 24,...

Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48,...

Multiples of 8: 0, 8, 16, 24, 32, 40, 48, 56, 64,...

A number is divisible by another number when you divide

and the remainder is zero.

List all the factors of each number.

1. 12 2. 18 3. 22 4. 35 5. 7 6. 108

List the first ten nonzero multiples of each number.

7. 4 8. 5 9. 6 10. 7 11. 10 12. 12

Which numbers are divisible by 2? by 5? by 10?

13. 300 14. 7875 15.22,892 16. 360,000

Divisibility by 2

A number is divisible by

2 if its ones digit is

divisible by 2.

80 , 3 2 , 29 4 , 85 6 , and

1908 are divisible by 2.

Divisibility by 5

A number is divisible by 5

if its ones digit is 0 or 5.

60 , 22 5 , 40 0 , 124 0 , and

125,60 5 are divisible by 5.

Divisibility by 10

A number is divisible by

10 if its ones digit is 0.

40 , 28 0 , 50 0 , 207 0 , and

46,79 0 are divisible by 10.

All even numbers are divisible by 2.

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