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

2 Math Divisibility

3 What Are You Learning? I CAN use divisibility rules.

4 Why Do You Need To Know This? You will need to know how to use divisibility rules in order to solve real world problems.

5 Vocabulary Divisible Remainder is zero when you divide one integer by another.

6 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

7 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

8 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

9 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

10 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

11 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

12 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

13 Class Work