6th Grade Math Textbook, Progress

Divisibility

6-1

A number is divisible by another

number if there is no remainder

when you divide.

You can use the divisibility rules in the

table below to help you determine if one

number is divisible by another number.

Since there is no remainder,

351 is divisibleby 9.

39

9 
 3  5  1 


 27

81


 81

0

Divisibility Rules

A number is

divisible by: if ...

2 it is an even number (ends in 0, 2, 4, 6, or 8)

3 the sum of its digits is divisible by 3

4 the last two digits form a number divisible by 4

5 the ones digit is 0 or 5

6 it is divisible by both 2 and 3

8 the last three digits form a number divisible by 8

9 the sum of its digits is divisible by 9

10 the last digit is 0

Study this example.

Determine whether 3024 is divisible by 2, 3, 4, 5, 6, 8, 9, and/or 10.

3024 4 is an even number. 3024 is divisible by 2.

3024 3  0  2  4 9 and 9  3  3 3024 is divisible by 3.

3024 24  4  6 3024 is divisible by 4.

3024 4 is not 0or 5. 3024 is notdivisible by 5.

3024 4 is an even number and 3024 is divisible by 6.

3  0  2  4 9 and 9 3 3.

3024 24  8  3 3024 is divisible by 8.

3024 3  0  2  4 9 and 9 9  1 3024 is divisible by 9.

3024 4 is not 0. 3024 is notdivisible by 10.

So 3024 is divisible by 2, 3, 4, 6, 8, and 9.

2.0

8206-2_178-179 10/7/07 11:17 AM Page 178