1

Foldable Fold your construction paper hotdog style and cut

it so that is has 9 strips on one side. There is an example under the document camera. Label the strips as follows:

Divisible by 2 Divisible by 3 Divisible by 4 Divisible by 5 Divisible by 6 Divisible by 8 Divisible by 9 Divisible by 10 Divisible by 12

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Math

Divisibility

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What Are You Learning?

I CAN use divisibility rules.

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Why Do You Need To Know This?

You will need to know how to use divisibility rules in order to solve real world problems.

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Vocabulary

DivisibleRemainder is zero when you divide one integer by another.

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Divisibility Rules for 2, 5, and 10

An integer is divisible by…

2 if it ends in 0, 2, 4, 6, or 8

5 if it ends in 0 or 5

10 if it ends in 0

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Is the first number divisible by the second?

a. 567 by 2

b. 1,015 by 5

c. 111,120 by 10

d. 160 by 5

e. 56 by 10

f. 53 by 2

g. 1,118 by 2

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Divisibility Rules for 3, 6, and 9

An integer is divisible by…

3 if the sum of its digits is divisible by 3

6 if the number is divisible by both 2 and 3

9 if the sum of its digits is divisible by 9

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Is the first number divisible by the second?

a. 567 by 3

b. 1,015 by 9

c. 64 by 6

d. 472 by 3

e. 174 by 6

f. 43,542 by 9

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Divisibility Rules for 4, 8, and 12

An integer is divisible by…

4 if the last two digits are divisible by 4

8 if the last three digits form a number divisible by 8

12 if the number is divisible by both 3 and 4

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Determine whether each number is divisible by 4, 8, or 12.

a. 136

b. 1,268

c. 696

d. 48

e. 72

f. 108

g. 144

h. 252

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State whether each number is divisible by 2, 3, 5, 6, 9, or 10.

a. 90

b. 81

c. 20

d. 37

e. 45

f. 99

g. 240

h. 333

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Class Work