The document discusses divisibility rules for numbers 2 through 10. It provides examples for each rule and interactive exercises for the reader to determine which numbers are and are not divisible by certain criteria. The main rules covered are: - A number is divisible by 2 if the last digit is even - A number is divisible by 3 if the sum of its digits is divisible by 3 - A number is divisible by 4 if the last two digits are divisible by 4 - A number is divisible by 5 if the last digit is 0 or 5 - A number is divisible by 6 if it is divisible by both 2 and 3 - A number is divisible by 9 if the sum of its digits is divisible by 9 -

1. 2, 3, 4, 5, 6, 9, 10 Divisibility Rules

2. “ Divisible BY” What does it mean?

3. “ Divisible by” means: If you divide one number by another, the result is a whole number WITHOUT a remainder. Examples: 12 ÷ 6 = 2 No remainder 15 ÷ 5 = 3 No remainder

4. Divisibility Rule 2 A number is divisible by 2 if the last digit is even. (0, 2, 4, 6, 8) Examples: 7 8 347 0 Review Even numbers: ghosteven

5. Now You Try: Which number IS NOT divisible by 2? 572 1464 249 Need More Practice: Numbers Divisible by 2

6. WONDERFUL

7. It ends in a 0, 2, 4, 6, or 8.

8. Divisibility Rule 3 A number is divisible by three if the sum of the digits is divisible by 3. Examples: 75 7 + 5 = 12 12 ÷ 3 = 4 No Remainder 369 3 +6 + 9 = 18 18 ÷ 3 = 6 No Remainder

9. Now You Try: Which number IS NOT divisible by 3? 572 1464 279 Need More Practice: Numbers Divisible by 3

10. The sum is divisible by 3.

11. WONDERFUL

12. Divisibility Rule 4 A number is divisible by 4 if the last two digits are divisible by 4. Examples: 13 20 20 ÷ 4 = 5 6 72 72 ÷ 4 = 18

13. Now You Try: Which number IS NOT divisible by 4? 564 4101 188 Need More Practice: Numbers Divisible by 4

14. WONDERFUL

15. The last 2 digits are divisible by 4.

16. Divisibility Rule 5 A number is divisible by 5 if the last digit is a 0 or 5. Examples: 61 5 ends in a 5 148 0 ends on a 0

17. Now You Try: Which number IS NOT divisible by 5? 9820 779 560 Need More Practice: Numbers Divisible by 5

18. The number ends in a zero or a five.

19. Wonderful

20. Divisibility Rule 6 A number is divisible by 6 when it is divisible by 2 AND 3. (prime numbers) Examples: 408 ends in an even number (2 rule) sum of the digits is divisible by 3 Review prime and composite numbers: Prime and Composite Numbers

21. Now You Try: Which number IS NOT divisible by 6? 8700 523 7602 Need more practice? Numbers Divisible by 6

22. Way To Go!!

23. This number is divisible by 2 and 3.

24. Divisibility Rule 9 A number is divisible by 9 if the sum of the digits is divisible by 9. Examples: 963 9 + 6 + 3 = 18 18 ÷ 9 = 2 5445 5 + 4 + 4 + 5 =18 18 ÷ 9 =2

25. Now You Try: Find the number that IS NOT divisible by 9. 9873 636 5541 Need More Practice: Numbers Divisible by 9 and 10

26. The sum of the digits is divisible by 9.

27. Great Job!!!

28. Divisibility Rule 10 A number is divisible by 10 is it ends in a ZERO. Example: 763 0 ends in a zero 41 0 ends in a zero

29. Now You Try: Find the number that IS NOT divisible by ten. 56,920 7537 870

30. The number ends in a ZERO.

31. Way To Go!!

32. Congratulations! Complete two of the three assignments. You may complete them on your computers but print out your answer sheet. Assignment 1.doc chart.doc assignment3.doc

33. Now that you have completed your two assignments, feel free to go to the following sites. THEY ARE SOOOOO MUCH FUN!!!!!! Fractions vectorkids -divisibility rules Gamequarium Division Games