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# Divisability rules

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### Divisability rules

1. 1. 2, 3, 4, 5, 6, 9, 10 Divisibility Rules
2. 2. “ Divisible BY” What does it mean?
3. 3. <ul><li>“ Divisible by” means: </li></ul><ul><li>If you divide one number by another, the result is a whole number WITHOUT a remainder. </li></ul><ul><li>Examples: </li></ul><ul><li>12 ÷ 6 = 2 No remainder </li></ul><ul><li>15 ÷ 5 = 3 No remainder </li></ul>
4. 4. Divisibility Rule 2 <ul><li>A number is divisible by 2 if the last digit is even. (0, 2, 4, 6, 8) </li></ul><ul><li>Examples: 7 8 347 0 </li></ul><ul><li>Review Even numbers: ghosteven </li></ul>
5. 5. Now You Try: <ul><li>Which number IS NOT divisible by 2? </li></ul><ul><li>572 1464 249 </li></ul>Need More Practice: Numbers Divisible by 2
6. 6. WONDERFUL
7. 7. It ends in a 0, 2, 4, 6, or 8.
8. 8. Divisibility Rule 3 <ul><li>A number is divisible by three if the sum of the digits is divisible by 3. </li></ul><ul><li>Examples: </li></ul><ul><li>75 7 + 5 = 12 12 ÷ 3 = 4 No Remainder </li></ul><ul><li>369 3 +6 + 9 = 18 18 ÷ 3 = 6 No Remainder </li></ul>
9. 9. Now You Try: <ul><li>Which number IS NOT divisible by 3? </li></ul><ul><li>572 1464 279 </li></ul>Need More Practice: Numbers Divisible by 3
10. 10. The sum is divisible by 3.
11. 11. WONDERFUL
12. 12. Divisibility Rule 4 <ul><li>A number is divisible by 4 if the last two digits are divisible by 4. </li></ul><ul><li>Examples: </li></ul><ul><li>13 20 20 ÷ 4 = 5 </li></ul><ul><li>6 72 72 ÷ 4 = 18 </li></ul>
13. 13. Now You Try: <ul><li>Which number IS NOT divisible by 4? </li></ul><ul><li>564 4101 188 </li></ul>Need More Practice: Numbers Divisible by 4
14. 14. WONDERFUL
15. 15. The last 2 digits are divisible by 4.
16. 16. Divisibility Rule 5 <ul><li>A number is divisible by 5 if the last digit is a 0 or 5. </li></ul><ul><li>Examples: </li></ul><ul><li>61 5 ends in a 5 </li></ul><ul><li>148 0 ends on a 0 </li></ul>
17. 17. Now You Try: <ul><li>Which number IS NOT divisible by 5? </li></ul><ul><li>9820 779 560 </li></ul>Need More Practice: Numbers Divisible by 5
18. 18. The number ends in a zero or a five.
19. 19. Wonderful
20. 20. Divisibility Rule 6 <ul><li>A number is divisible by 6 when it is divisible by 2 AND 3. (prime numbers) </li></ul><ul><li>Examples: </li></ul><ul><li>408 ends in an even number (2 rule) </li></ul><ul><li>sum of the digits is divisible by 3 </li></ul><ul><li>Review prime and composite numbers: Prime and Composite Numbers </li></ul>
21. 21. Now You Try: <ul><li>Which number IS NOT divisible by 6? </li></ul><ul><li>8700 523 7602 </li></ul><ul><li>Need more practice? Numbers Divisible by 6 </li></ul>
22. 22. Way To Go!!
23. 23. This number is divisible by 2 and 3.
24. 24. Divisibility Rule 9 <ul><li>A number is divisible by 9 if the sum of the digits is divisible by 9. </li></ul><ul><li>Examples: </li></ul><ul><li>963 9 + 6 + 3 = 18 18 ÷ 9 = 2 </li></ul><ul><li>5445 5 + 4 + 4 + 5 =18 18 ÷ 9 =2 </li></ul>
25. 25. Now You Try: <ul><li>Find the number that IS NOT divisible by 9. </li></ul><ul><li>9873 636 5541 </li></ul><ul><li>Need More Practice: Numbers Divisible by 9 and 10 </li></ul>
26. 26. The sum of the digits is divisible by 9.
27. 27. Great Job!!!
28. 28. Divisibility Rule 10 <ul><li>A number is divisible by 10 is it ends in a ZERO. </li></ul><ul><li>Example: </li></ul><ul><li>763 0 ends in a zero </li></ul><ul><li> 41 0 ends in a zero </li></ul>
29. 29. Now You Try: <ul><li>Find the number that IS NOT divisible by ten. </li></ul><ul><li>56,920 7537 870 </li></ul>
30. 30. The number ends in a ZERO.
31. 31. Way To Go!!
32. 32. Congratulations! <ul><li>Complete two of the three assignments. You may complete them on your computers but print out your answer sheet. </li></ul><ul><li>Assignment 1.doc </li></ul><ul><li>chart.doc </li></ul><ul><li>assignment3.doc </li></ul>
33. 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