7-1 Factors and Divisibilty

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  • 1. 7-1 Rules of Divisibility Math Notes Number Sense 4.1
  • 2. Divisible by: Rule 1 All numbers are divisible by 1
  • 3. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0
  • 4. 54 8 90
  • 5. 54 8 90 All even numbers.
  • 6. 27 4 2 54 28 45 2 90 All even numbers.
  • 7. 27 4 2 54 28 45 2 90 54, 90, 8 are All even numbers. divisible by 2.
  • 8. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3
  • 9. 37
  • 10. 3+7
  • 11. 3 + 7 = 10
  • 12. 3 +7= 10
  • 13. 3 r1 3 +7= 3 10 9 1
  • 14. 3 r1 3 +7= 3 10 9 37 is NOT 1 divisible by 3
  • 15. 69
  • 16. 6+9
  • 17. 6 + 9 = 15
  • 18. 6 +9= 15
  • 19. 5 6 +9= 3 15 15 0
  • 20. 5 6 +9= 3 15 15 69 is 0 divisible by 3
  • 21. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4
  • 22. 4 29324
  • 23. 7331 4 29324 28 13 12 12 12 04 4
  • 24. 7331 4 29324 OR 28 13 12 12 12 04 4
  • 25. 4 29324
  • 26. 4 29324
  • 27. 4 24
  • 28. 6 4 24 24 0
  • 29. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4 5 The last digit is a 5 or 0
  • 30. 45 25 70
  • 31. 45 25 70 All numbers ending in 5 or 0.
  • 32. 9 5 5 45 5 25 14 5 70 All numbers ending in 5 or 0.
  • 33. 9 5 5 45 5 25 14 5 70 All numbers ending 45, 70, 25 are in 5 or 0. divisible by 5.
  • 34. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4 5 The last digit is a 5 or 0 6 The number is divisible by both 3 AND 2
  • 35. If divisible by 2 AND 3, 18 is divisible by 6.
  • 36. 18 If divisible by 2 AND 3, 18 is divisible by 6.
  • 37. 9 2 18 If divisible by 2 AND 3, 18 is divisible by 6.
  • 38. 9 2 18 18 If divisible by 2 AND 3, 18 is divisible by 6.
  • 39. 9 2 18 1+8 If divisible by 2 AND 3, 18 is divisible by 6.
  • 40. 9 2 18 1+8 = 9 If divisible by 2 AND 3, 18 is divisible by 6.
  • 41. 9 2 18 1+8 = 9 If divisible by 2 AND 3, 18 is divisible by 6.
  • 42. 9 2 18 3 1+8 = 3 9 9 If divisible by 2 AND 3, 18 is divisible by 6. 0
  • 43. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4 5 The last digit is a 5 or 0 6 The number is divisible by both 3 AND 2 8 The last three digits form a number divisible by 8
  • 44. 8 25272
  • 45. 3 1 59 8 25272 24 12 8 47 40 72 72
  • 46. 3 1 59 8 25272 OR 24 12 8 47 40 72 72
  • 47. 8 25272
  • 48. 8 25272
  • 49. 8 272
  • 50. 34 8 272 24 32 32
  • 51. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4 5 The last digit is a 5 or 0 6 The number is divisible by both 3 AND 2 8 The last three digits form a number divisible by 8 9 The sum of the digits is divisible by 9
  • 52. 56
  • 53. 5+6
  • 54. 5 + 6 = 11
  • 55. 5 +6= 11
  • 56. 1 r2 5 +6= 9 11 9 2
  • 57. 1 r2 5 +6= 9 11 9 56 is NOT 2 divisible by 9
  • 58. 99
  • 59. 9+9
  • 60. 9 + 9 = 18
  • 61. 9 +9= 18
  • 62. 2 9 +9= 9 18 18 0
  • 63. 2 9 + 9 = 9 18 18 99 is divisible 0 by 9
  • 64. Divisible by: Rule 1 All numbers are divisible by 1 2 The last digit of the number is even or 0 3 The sum of the digits is divisible by 3 4 The last two digits form a number divisible by 4 5 The last digit is a 5 or 0 6 The number is divisible by both 3 AND 2 8 The last three digits form a number divisible by 8 9 The sum of the digits is divisible by 9 10 The number ends in 0
  • 65. 70 20 90
  • 66. 70 20 90 All even numbers.
  • 67. 27 4 2 70 2 20 45 2 90 All even numbers.
  • 68. 27 4 2 70 2 20 45 2 90 54, 90, 8 are All even numbers. divisible by 2.