Maths

Divisors of 136

by Staff Writer
10 min read

When we talk about numbers, we often come across the term "divisors." But what does that mean? Divisors of a number are simply the numbers that can be evenly divided into that number, meaning there is no remainder left. This article will explain in simple terms what divisors are, how we find them, and specifically look at the divisors of the number 136.

To understand divisors better, we first need to know a bit about division. In division, we have three important terms:

  • Dividend: This is the number we want to divide. In our case, the dividend is 136.
  • Divisor: This is the number we are dividing by.
  • Quotient: This is the result of the division.

For example, if we divide 136 by 1 (where 136 is the dividend and 1 is the divisor), we do the following:

136 / 1 = 136

Here, 136 is the dividend, 1 is the divisor, and the result, which is 136, is the quotient.

Now, let’s figure out how to calculate the divisors of 136. We will divide 136 by every whole number, starting from 1, and go up to 136. If the result of the division (the quotient) is a whole number with no remainder, then that number is a divisor.

Let’s start by dividing 136 by each integer from 1 to 10 and see what happens:

  1. 136 / 1 = 136 (Whole number, so 1 is a divisor)
  2. 136 / 2 = 68 (Whole number, so 2 is a divisor)
  3. 136 / 3 = 45.33 (Not a whole number, so 3 is not a divisor)
  4. 136 / 4 = 34 (Whole number, so 4 is a divisor)
  5. 136 / 5 = 27.2 (Not a whole number, so 5 is not a divisor)
  6. 136 / 6 = 22.67 (Not a whole number, so 6 is not a divisor)
  7. 136 / 7 = 19.43 (Not a whole number, so 7 is not a divisor)
  8. 136 / 8 = 17 (Whole number, so 8 is a divisor)
  9. 136 / 9 = 15.11 (Not a whole number, so 9 is not a divisor)
  10. 136 / 10 = 13.6 (Not a whole number, so 10 is not a divisor)

Now that we’ve checked the numbers up to 10, let’s summarize our findings and continue to check a few more numbers to find all the divisors of 136.

Continuing from where we left off, we can check the next few numbers:

  1. 136 / 11 = 12.36 (Not a whole number, so 11 is not a divisor)
  2. 136 / 12 = 11.33 (Not a whole number, so 12 is not a divisor)
  3. 136 / 13 = 10.46 (Not a whole number, so 13 is not a divisor)
  4. 136 / 14 = 9.71 (Not a whole number, so 14 is not a divisor)
  5. 136 / 15 = 9.07 (Not a whole number, so 15 is not a divisor)
  6. 136 / 16 = 8.5 (Not a whole number, so 16 is not a divisor)
  7. 136 / 17 = 8 (Whole number, so 17 is a divisor)
  8. 136 / 18 = 7.56 (Not a whole number, so 18 is not a divisor)
  9. 136 / 19 = 7.16 (Not a whole number, so 19 is not a divisor)
  10. 136 / 20 = 6.8 (Not a whole number, so 20 is not a divisor)
  11. 136 / 21 = 6.48 (Not a whole number, so 21 is not a divisor)
  12. 136 / 22 = 6.18 (Not a whole number, so 22 is not a divisor)
  13. 136 / 23 = 5.91 (Not a whole number, so 23 is not a divisor)
  14. 136 / 24 = 5.67 (Not a whole number, so 24 is not a divisor)
  15. 136 / 25 = 5.44 (Not a whole number, so 25 is not a divisor)
  16. 136 / 26 = 5.23 (Not a whole number, so 26 is not a divisor)
  17. 136 / 27 = 5.04 (Not a whole number, so 27 is not a divisor)
  18. 136 / 28 = 4.857 (Not a whole number, so 28 is not a divisor)
  19. 136 / 29 = 4.69 (Not a whole number, so 29 is not a divisor)
  20. 136 / 30 = 4.53 (Not a whole number, so 30 is not a divisor)
  21. 136 / 31 = 4.39 (Not a whole number, so 31 is not a divisor)
  22. 136 / 32 = 4.25 (Not a whole number, so 32 is not a divisor)
  23. 136 / 33 = 4.12 (Not a whole number, so 33 is not a divisor)
  24. 136 / 34 = 4 (Whole number, so 34 is a divisor)
  25. 136 / 35 = 3.89 (Not a whole number, so 35 is not a divisor)
  26. 136 / 36 = 3.78 (Not a whole number, so 36 is not a divisor)
  27. 136 / 37 = 3.68 (Not a whole number, so 37 is not a divisor)
  28. 136 / 38 = 3.58 (Not a whole number, so 38 is not a divisor)
  29. 136 / 39 = 3.49 (Not a whole number, so 39 is not a divisor)
  30. 136 / 40 = 3.4 (Not a whole number, so 40 is not a divisor)
  31. 136 / 41 = 3.32 (Not a whole number, so 41 is not a divisor)
  32. 136 / 42 = 3.24 (Not a whole number, so 42 is not a divisor)
  33. 136 / 43 = 3.16 (Not a whole number, so 43 is not a divisor)
  34. 136 / 44 = 3.09 (Not a whole number, so 44 is not a divisor)
  35. 136 / 45 = 3.02 (Not a whole number, so 45 is not a divisor)
  36. 136 / 46 = 2.96 (Not a whole number, so 46 is not a divisor)
  37. 136 / 47 = 2.91 (Not a whole number, so 47 is not a divisor)
  38. 136 / 48 = 2.83 (Not a whole number, so 48 is not a divisor)
  39. 136 / 49 = 2.76 (Not a whole number, so 49 is not a divisor)
  40. 136 / 50 = 2.72 (Not a whole number, so 50 is not a divisor)
  41. 136 / 51 = 2.67 (Not a whole number, so 51 is not a divisor)
  42. 136 / 52 = 2.615 (Not a whole number, so 52 is not a divisor)
  43. 136 / 53 = 2.57 (Not a whole number, so 53 is not a divisor)
  44. 136 / 54 = 2.52 (Not a whole number, so 54 is not a divisor)
  45. 136 / 55 = 2.47 (Not a whole number, so 55 is not a divisor)
  46. 136 / 56 = 2.43 (Not a whole number, so 56 is not a divisor)
  47. 136 / 57 = 2.39 (Not a whole number, so 57 is not a divisor)
  48. 136 / 58 = 2.34 (Not a whole number, so 58 is not a divisor)
  49. 136 / 59 = 2.31 (Not a whole number, so 59 is not a divisor)
  50. 136 / 60 = 2.27 (Not a whole number, so 60 is not a divisor)
  51. 136 / 61 = 2.23 (Not a whole number, so 61 is not a divisor)
  52. 136 / 62 = 2.19 (Not a whole number, so 62 is not a divisor)
  53. 136 / 63 = 2.16 (Not a whole number, so 63 is not a divisor)
  54. 136 / 64 = 2.125 (Not a whole number, so 64 is not a divisor)
  55. 136 / 65 = 2.09 (Not a whole number, so 65 is not a divisor)
  56. 136 / 66 = 2.06 (Not a whole number, so 66 is not a divisor)
  57. 136 / 67 = 2.03 (Not a whole number, so 67 is not a divisor)
  58. 136 / 68 = 2 (Whole number, so 68 is a divisor)
  59. 136 / 69 = 1.97 (Not a whole number, so 69 is not a divisor)
  60. 136 / 70 = 1.94 (Not a whole number, so 70 is not a divisor)
  61. 136 / 71 = 1.92 (Not a whole number, so 71 is not a divisor)
  62. 136 / 72 = 1.88 (Not a whole number, so 72 is not a divisor)
  63. 136 / 73 = 1.86 (Not a whole number, so 73 is not a divisor)
  64. 136 / 74 = 1.84 (Not a whole number, so 74 is not a divisor)
  65. 136 / 75 = 1.81 (Not a whole number, so 75 is not a divisor)
  66. 136 / 76 = 1.79 (Not a whole number, so 76 is not a divisor)
  67. 136 / 77 = 1.76 (Not a whole number, so 77 is not a divisor)
  68. 136 / 78 = 1.74 (Not a whole number, so 78 is not a divisor)
  69. 136 / 79 = 1.72 (Not a whole number, so 79 is not a divisor)
  70. 136 / 80 = 1.7 (Not a whole number, so 80 is not a divisor)
  71. 136 / 81 = 1.68 (Not a whole number, so 81 is not a divisor)
  72. 136 / 82 = 1.66 (Not a whole number, so 82 is not a divisor)
  73. 136 / 83 = 1.64 (Not a whole number, so 83 is not a divisor)
  74. 136 / 84 = 1.62 (Not a whole number, so 84 is not a divisor)
  75. 136 / 85 = 1.6 (Not a whole number, so 85 is not a divisor)
  76. 136 / 86 = 1.58 (Not a whole number, so 86 is not a divisor)
  77. 136 / 87 = 1.56 (Not a whole number, so 87 is not a divisor)
  78. 136 / 88 = 1.545 (Not a whole number, so 88 is not a divisor)
  79. 136 / 89 = 1.53 (Not a whole number, so 89 is not a divisor)
  80. 136 / 90 = 1.51 (Not a whole number, so 90 is not a divisor)
  81. 136 / 91 = 1.49 (Not a whole number, so 91 is not a divisor)
  82. 136 / 92 = 1.48 (Not a whole number, so 92 is not a divisor)
  83. 136 / 93 = 1.46 (Not a whole number, so 93 is not a divisor)
  84. 136 / 94 = 1.45 (Not a whole number, so 94 is not a divisor)
  85. 136 / 95 = 1.43 (Not a whole number, so 95 is not a divisor)
  86. 136 / 96 = 1.416 (Not a whole number, so 96 is not a divisor)
  87. 136 / 97 = 1.40 (Not a whole number, so 97 is not a divisor)
  88. 136 / 98 = 1.39 (Not a whole number, so 98 is not a divisor)
  89. 136 / 99 = 1.37 (Not a whole number, so 99 is not a divisor)
  90. 136 / 100 = 1.36 (Not a whole number, so 100 is not a divisor)
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Now that we have completed our divisions, let’s list all the numbers we found that are divisors of 136:

The divisors of 136 are:

  • 1
  • 2
  • 4
  • 8
  • 17
  • 34
  • 68
  • 136

In conclusion, by dividing the number 136 by each integer from 1 to 136 and checking for whole number quotients, we identified all the divisors. These divisors can be useful in various mathematical calculations and help in understanding the properties of numbers.

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