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Divisibility Rules
What is  Divisibility ? <ul><li>Divisibility  means that after dividing, there will be   NO   remainder. </li></ul>
356,821 <ul><li>Can you tell by just looking at this number if it is divisible by 2?  </li></ul><ul><li>by 5?  </li></ul><...
Divisibility Rules   help you learn  shortcuts  to tell when a number can be divided by another number with  NO  remainder...
Divisibility by 2 <ul><li>A number is divisible by 2 </li></ul><ul><li>if the number </li></ul><ul><li>is even. </li></ul>...
Are these numbers divisible   by 2? <ul><li>127  </li></ul><ul><li>( Not an even   number)   </li></ul><ul><li>937 </li></...
Divisibility by 5 <ul><li>A number is divisible by 5 if it ends in 0 or   5 . </li></ul><ul><li>25 ÷ 5  = 5  </li></ul><ul...
Divisibility by 4 <ul><li>If the last two numbers of a digit form a number divisible by 4 </li></ul><ul><li>85 12 ;  12  i...
Divisibility by  <ul><li>A number is divisible by 10 if it ends in 0. </li></ul><ul><li>30 ÷ 10 = 3 </li></ul><ul><li>340 ...
Divisibility By: 2 5 10 1825 346 510 1108
Divisibility by 3   <ul><li>A number is divisible by 3 if the sum of the digits is divisible by 3. </li></ul><ul><li>Is th...
Divisibility by   <ul><li>A number is divisible by 9 if the sum of its digits is divisible by 9. </li></ul><ul><li>369 is ...
Divisibility by  6 <ul><li>A number is divisible by 6  </li></ul><ul><li>if it is divisible  </li></ul><ul><li>by  both   ...
After All…DIVISIBILITY  Rules!!
<ul><li>THE  END </li></ul><ul><li>Content:  </li></ul><ul><li>P. Frye, Oak Grove Elementary School, December 2003 </li></...
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Divisibility rules

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Transcript of "Divisibility rules"

  1. 1. Divisibility Rules
  2. 2. What is Divisibility ? <ul><li>Divisibility means that after dividing, there will be NO remainder. </li></ul>
  3. 3. 356,821 <ul><li>Can you tell by just looking at this number if it is divisible by 2? </li></ul><ul><li>by 5? </li></ul><ul><li>by 10? </li></ul><ul><li>by 3 ? </li></ul><ul><li>by 9? </li></ul><ul><li>By 6? </li></ul><ul><li>The divisibility rules </li></ul><ul><li>can help </li></ul><ul><li>YOU !!! </li></ul>
  4. 4. Divisibility Rules help you learn shortcuts to tell when a number can be divided by another number with NO remainder .
  5. 5. Divisibility by 2 <ul><li>A number is divisible by 2 </li></ul><ul><li>if the number </li></ul><ul><li>is even. </li></ul><ul><li>18 ÷ 2 = 9 </li></ul><ul><li>22 ÷ 2 = 11 </li></ul><ul><li>(Notice that both of these numbers are even.) </li></ul><ul><li>21 ÷ 2 = 10 R1 </li></ul><ul><li>(Not an even number.) </li></ul>
  6. 6. Are these numbers divisible by 2? <ul><li>127 </li></ul><ul><li>( Not an even number) </li></ul><ul><li>937 </li></ul><ul><li>( Not an even number) </li></ul><ul><li>4678 </li></ul>
  7. 7. Divisibility by 5 <ul><li>A number is divisible by 5 if it ends in 0 or 5 . </li></ul><ul><li>25 ÷ 5 = 5 </li></ul><ul><li>23 ÷ 5 = 4 R3 </li></ul>
  8. 8. Divisibility by 4 <ul><li>If the last two numbers of a digit form a number divisible by 4 </li></ul><ul><li>85 12 ; 12 is divisible by 4 </li></ul><ul><li>15 18 ; 18 is NOT divisible by 4 </li></ul>
  9. 9. Divisibility by <ul><li>A number is divisible by 10 if it ends in 0. </li></ul><ul><li>30 ÷ 10 = 3 </li></ul><ul><li>340 ÷ 10 = 34 </li></ul><ul><li>67 ÷ 10 = 6 R7 </li></ul><ul><li>784 ÷ 10 =78 R4 </li></ul>
  10. 10. Divisibility By: 2 5 10 1825 346 510 1108
  11. 11. Divisibility by 3 <ul><li>A number is divisible by 3 if the sum of the digits is divisible by 3. </li></ul><ul><li>Is the number 135 divisible by 3? </li></ul><ul><li>Add the digits: 1 + 3 + 5 = 9 </li></ul><ul><li>Yes, 135 is divisible by 3 because the sum of the digits is divisible by 3. </li></ul>
  12. 12. Divisibility by <ul><li>A number is divisible by 9 if the sum of its digits is divisible by 9. </li></ul><ul><li>369 is divisible by 9 </li></ul><ul><li>because </li></ul><ul><li>3 + 6 + 9 =18 </li></ul><ul><li>1 + 8 = 9 </li></ul><ul><li>AND </li></ul><ul><li>9 is divisible by 9. </li></ul>
  13. 13. Divisibility by 6 <ul><li>A number is divisible by 6 </li></ul><ul><li>if it is divisible </li></ul><ul><li>by both </li></ul><ul><li>2 and 3 . </li></ul><ul><li>Is 42 divisible by 6? </li></ul><ul><li>Is 51 divisible by 6? </li></ul>
  14. 14. After All…DIVISIBILITY Rules!!
  15. 15. <ul><li>THE END </li></ul><ul><li>Content: </li></ul><ul><li>P. Frye, Oak Grove Elementary School, December 2003 </li></ul><ul><li>Graphics: </li></ul><ul><li>Microsoft Clip Gallery </li></ul><ul><li>AllAboutFrogs.org </li></ul><ul><li>Frogland </li></ul>
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