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2 , 3, 4, 5, 6, 9, 10

Divisibility Rules. 2 , 3, 4, 5, 6, 9, 10. “Divisible BY” What does it mean?. “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 .

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2 , 3, 4, 5, 6, 9, 10

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

  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. A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). Examples: 78 3470 Divisibility Rule 2

  5. 32 Yes, the number ends in a 2. • 153 No, the number ends in a 3. • 2386 Yes, the number ends in a 6. • 59841 No, the number ends in a 1. • 697157 No, the number ends in a 7. • 7134784 Yes, the number ends in a 4. Are the Following Numbers Divisible By 2?

  6. 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 Divisibility Rule 3

  7. 32 No, 3+2=5. 5 is not divisible by 3. • 153 Yes. 1+5+3=9. 9 is divisible by 3. • 2386 No, 2+3+8+6=19. 19 is not divisible by 3. • 59841 Yes. 5+9+8+4+1=27. 27 is divisible by 3. • 697157 No, 6+9+7+1+5+7=35. 35 is not divisible by 3. • 7134784 No, 7+1+3+4+7+8+4=34. 34 is not divisible by 3. Are the Following Numbers Divisible By 3?

  8. A number is divisible by 4 if the last two digits are divisible by 4. Examples: 1320 20 ÷ 4 = 5 672 72 ÷ 4 = 18 Divisibility Rule 4

  9. 136 Yes, 36 is divisible by 4. • 2958 No, 58 is not divisible by 4. • 88413 No, 13 is not divisible by 4. • 73208 Yes, 8 is divisible by 4. • 9547146 No, 46 is not divisible by 4. • 72841532 Yes, 32 is divisible by 4. Are the Following Numbers Divisible By 4?

  10. A number is divisible by 5 if the last digit is a 0 or 5. Examples: 615 ends in a 5 1480 ends on a 0 Divisibility Rule 5

  11. 30 Yes, the number ends in a 0. • 155 Yes, the number ends in a 5. • 2386 No, the number ends in a 6. • 59841 No, the number ends in a 1. • 697150 Yes, the number ends in a 0. • 7134785 Yes, the number ends in a 5. Are the Following Numbers Divisible By 5?

  12. A number is divisible by 6 when it is divisible by 2 AND 3. Examples: 408 is divisible by 6 because it ends in an even number (divisible by 2), and 4+0+8=12 (divisible by 3). Divisibility Rule 6

  13. 32 No, the number ends in a 2 (divisible by 2), but 3+2=5 (not divisible by 3). • 156 Yes, the number ends in a 6 (divisible by 2), and 1+5+6=12 (divisible by 3). • 2388 Yes, the number ends in an 8 (divisible by 2), and 2+3+8+8=21 (divisible by 3). • 59841 No, the number ends in a 1 • 697157 No, the number ends in a 7 • 7134786 Yes, the number ends in a 6 (divisible by 2), and 7+1+3+4+7+8+6=36 (divisible by 3). Are the Following Numbers Divisible By 6?

  14. 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 Divisibility Rule 9

  15. 32 No, 3+2=5. 5 is not divisible by 9. • 153 Yes, 1+5+3=9. 9 is divisible by 9. • 2385 Yes, 2+3+8+5=18. 18 is divisible by 9. • 59841 Yes, 5+9+8+4+1=27. 27 is divisible by 9. • 697157 No, 6+9+7+1+5+7=35. 35 is not divisible by 9. • 7134786 Yes, 7+1+3+4+7+8+6=. 36 is divisible by 9. Are the Following Numbers Divisible By 9?

  16. A number is divisible by 10 if it ends in a ZERO. Example: 7630 ends in a zero 410 ends in a zero Divisibility Rule 10

  17. 30 Yes, the number ends in a 0. • 153 No, the number ends in a 3. • 2386 No, the number ends in a 6. • 59840 Yes, the number ends in a 0. • 697157 No, the number ends in a 7. • 7134780 Yes, the number ends in a 0. Are the Following Numbers Divisible By 10?

  18. Questions?

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