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# 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.