1. Divisibility Rules: What are they? Rules to help you determine if numbers are divisible by other numbers. Divisible – if a number can be divided by another number with no remainder, decimal, or fraction. We will learn rules for 2, 3, 5, 6, 9, and 10.

2. Divisibility Rule for 2 A number is divisible by 2 if… The number is even. Even numbers end in 2, 4, 6, 8, or 0. Examples 412 230 516

3. Divisibility Rule for 10 A number is divisible by 10 if… The number ends in a zero. Examples 4,000 210 50

4. Divisibility Rule for 5 A number is divisible by 5 if… The number ends in a 5 or 0. Examples 4,000 215 355

5. Divisibility Rule for 3 A number is divisible by 3 if… The sum of the digits of the number is divisible by 3. Examples 354 3 + 5 + 4 = 12 12 / 3 = 4 9,363,129 9 + 3 + 6 + 3 + 1 + 2 + 9 = 33 33/3 = 11

6. Divisibility Rule for 9 A number is divisible by 9 if… The sum of the digits of the number is divisible by 9. Examples 495 4 + 9 + 5 = 18 18 / 9 = 2 999,918 9 + 9 + 9 + 9 + 1 + 8 = 45 45 / 9 = 5

7. Divisibility Rule for 6 A number is divisible by 6 if… The number is divisible by both 3 and 2. Examples 930 6000 216

8. Divisibility Rules A number is divisible by:  2 if the number is even.  3 if the sum of the digits is divisible by 3.  5 if the number ends in a 5 or 0.  6 if the number is divisible by 2 and 3.  9 if the sum of the digits is divisible by 9.  10 if the number ends in a 0.

9. What number(s) is the number below divisible by? 27 3 and 9

10. What number(s) is the number below divisible by? 42 2, 3, 6

11. What number(s) is the number below divisible by? 215 5

12. What number(s) is the number below divisible by? 9,990 2, 3, 5, 6, 9, and 10

13. What number(s) is the number below divisible by? 17 None

14. 14 Homework: Practice worksheet 3-1 Correct Chapter 2 Test and Get it Signed 14