Maths

Divisors of 170

by Staff Writer
10 min read

When we talk about the divisors of a number, we’re referring to all the numbers that can evenly divide that number, leaving no remainder. Finding divisors helps us understand the structure of numbers and is useful in various mathematical applications, such as simplifying fractions or solving equations. In this article, we will explore how to find the divisors of the number 170 in a simple and clear way.

To understand divisors, we first need to grasp the concept of division. Division is like sharing a number into equal parts. When we divide, we have three important terms:

  1. Dividend: This is the number we want to divide. In our case, for the divisors of 170, the dividend is 170.
  2. Divisor: This is the number we are dividing by. For example, if we divide by 5, then 5 is the divisor.
  3. Quotient: This is the result of the division. It tells us how many times the divisor fits into the dividend without leaving any leftover.

Let’s look at the formula using our number 170:

170 (dividend) / 5 (divisor) = 34 (quotient)

Now, let’s find the divisors of 170 by dividing it by every integer starting from 1 up to 170. We will check for whole numbers, meaning if the quotient has no decimal part.

Here’s how we will do it step by step.

  1. Start with 1 and go up to 170.
  2. Divide 170 by each number you check, starting from 1.
  3. Look for results that are whole numbers.

Now, let’s do these calculations one by one:

  • 170 / 1 = 170 (whole number)
  • 170 / 2 = 85 (whole number)
  • 170 / 3 = 56.67 (not a whole number)
  • 170 / 4 = 42.5 (not a whole number)
  • 170 / 5 = 34 (whole number)
  • 170 / 6 = 28.33 (not a whole number)
  • 170 / 7 = 24.29 (not a whole number)
  • 170 / 8 = 21.25 (not a whole number)
  • 170 / 9 = 18.89 (not a whole number)
  • 170 / 10 = 17 (whole number)

Continuing this process, we find the divisors:

  • 170 / 11 = 15.45 (not a whole number)
  • 170 / 12 = 14.17 (not a whole number)
  • 170 / 13 = 13.08 (not a whole number)
  • 170 / 14 = 12.14 (not a whole number)
  • 170 / 15 = 11.33 (not a whole number)
  • 170 / 16 = 10.625 (not a whole number)
  • 170 / 17 = 10 (whole number)
  • 170 / 18 = 9.44 (not a whole number)
  • 170 / 19 = 8.95 (not a whole number)
  • 170 / 20 = 8.5 (not a whole number)
  • 170 / 21 = 8.10 (not a whole number)
  • 170 / 22 = 7.73 (not a whole number)
  • 170 / 23 = 7.39 (not a whole number)
  • 170 / 24 = 7.08 (not a whole number)
  • 170 / 25 = 6.8 (not a whole number)
  • 170 / 26 = 6.54 (not a whole number)
  • 170 / 27 = 6.3 (not a whole number)
  • 170 / 28 = 6.07 (not a whole number)
  • 170 / 29 = 5.86 (not a whole number)
  • 170 / 30 = 5.67 (not a whole number)
  • 170 / 31 = 5.48 (not a whole number)
  • 170 / 32 = 5.31 (not a whole number)
  • 170 / 33 = 5.15 (not a whole number)
  • 170 / 34 = 5 (whole number)
  • 170 / 35 = 4.857 (not a whole number)
  • 170 / 36 = 4.72 (not a whole number)
  • 170 / 37 = 4.59 (not a whole number)
  • 170 / 38 = 4.47 (not a whole number)
  • 170 / 39 = 4.36 (not a whole number)
  • 170 / 40 = 4.25 (not a whole number)
  • 170 / 41 = 4.15 (not a whole number)
  • 170 / 42 = 4.05 (not a whole number)
  • 170 / 43 = 3.95 (not a whole number)
  • 170 / 44 = 3.86 (not a whole number)
  • 170 / 45 = 3.78 (not a whole number)
  • 170 / 46 = 3.69 (not a whole number)
  • 170 / 47 = 3.62 (not a whole number)
  • 170 / 48 = 3.54 (not a whole number)
  • 170 / 49 = 3.47 (not a whole number)
  • 170 / 50 = 3.4 (not a whole number)
  • 170 / 51 = 3.33 (not a whole number)
  • 170 / 52 = 3.27 (not a whole number)
  • 170 / 53 = 3.21 (not a whole number)
  • 170 / 54 = 3.15 (not a whole number)
  • 170 / 55 = 3.09 (not a whole number)
  • 170 / 56 = 3.03 (not a whole number)
  • 170 / 57 = 2.98 (not a whole number)
  • 170 / 58 = 2.93 (not a whole number)
  • 170 / 59 = 2.88 (not a whole number)
  • 170 / 60 = 2.83 (not a whole number)
  • 170 / 61 = 2.78 (not a whole number)
  • 170 / 62 = 2.74 (not a whole number)
  • 170 / 63 = 2.7 (not a whole number)
  • 170 / 64 = 2.65 (not a whole number)
  • 170 / 65 = 2.61 (not a whole number)
  • 170 / 66 = 2.58 (not a whole number)
  • 170 / 67 = 2.54 (not a whole number)
  • 170 / 68 = 2.50 (not a whole number)
  • 170 / 69 = 2.46 (not a whole number)
  • 170 / 70 = 2.43 (not a whole number)
  • 170 / 71 = 2.39 (not a whole number)
  • 170 / 72 = 2.36 (not a whole number)
  • 170 / 73 = 2.32 (not a whole number)
  • 170 / 74 = 2.30 (not a whole number)
  • 170 / 75 = 2.27 (not a whole number)
  • 170 / 76 = 2.24 (not a whole number)
  • 170 / 77 = 2.20 (not a whole number)
  • 170 / 78 = 2.18 (not a whole number)
  • 170 / 79 = 2.15 (not a whole number)
  • 170 / 80 = 2.12 (not a whole number)
  • 170 / 81 = 2.09 (not a whole number)
  • 170 / 82 = 2.07 (not a whole number)
  • 170 / 83 = 2.05 (not a whole number)
  • 170 / 84 = 2.02 (not a whole number)
  • 170 / 85 = 2 (whole number)
  • 170 / 86 = 1.976 (not a whole number)
  • 170 / 87 = 1.95 (not a whole number)
  • 170 / 88 = 1.93 (not a whole number)
  • 170 / 89 = 1.91 (not a whole number)
  • 170 / 90 = 1.89 (not a whole number)
  • 170 / 91 = 1.86 (not a whole number)
  • 170 / 92 = 1.85 (not a whole number)
  • 170 / 93 = 1.83 (not a whole number)
  • 170 / 94 = 1.81 (not a whole number)
  • 170 / 95 = 1.79 (not a whole number)
  • 170 / 96 = 1.77 (not a whole number)
  • 170 / 97 = 1.75 (not a whole number)
  • 170 / 98 = 1.73 (not a whole number)
  • 170 / 99 = 1.71 (not a whole number)
  • 170 / 100 = 1.70 (not a whole number)
  • 170 / 101 = 1.68 (not a whole number)
  • 170 / 102 = 1.67 (not a whole number)
  • 170 / 103 = 1.65 (not a whole number)
  • 170 / 104 = 1.63 (not a whole number)
  • 170 / 105 = 1.62 (not a whole number)
  • 170 / 106 = 1.60 (not a whole number)
  • 170 / 107 = 1.59 (not a whole number)
  • 170 / 108 = 1.57 (not a whole number)
  • 170 / 109 = 1.56 (not a whole number)
  • 170 / 110 = 1.55 (not a whole number)
  • 170 / 111 = 1.53 (not a whole number)
  • 170 / 112 = 1.52 (not a whole number)
  • 170 / 113 = 1.50 (not a whole number)
  • 170 / 114 = 1.49 (not a whole number)
  • 170 / 115 = 1.48 (not a whole number)
  • 170 / 116 = 1.46 (not a whole number)
  • 170 / 117 = 1.45 (not a whole number)
  • 170 / 118 = 1.44 (not a whole number)
  • 170 / 119 = 1.43 (not a whole number)
  • 170 / 120 = 1.42 (not a whole number)
  • 170 / 121 = 1.40 (not a whole number)
  • 170 / 122 = 1.39 (not a whole number)
  • 170 / 123 = 1.38 (not a whole number)
  • 170 / 124 = 1.37 (not a whole number)
  • 170 / 125 = 1.36 (not a whole number)
  • 170 / 126 = 1.35 (not a whole number)
  • 170 / 127 = 1.34 (not a whole number)
  • 170 / 128 = 1.33 (not a whole number)
  • 170 / 129 = 1.32 (not a whole number)
  • 170 / 130 = 1.30 (not a whole number)
  • 170 / 131 = 1.29 (not a whole number)
  • 170 / 132 = 1.28 (not a whole number)
  • 170 / 133 = 1.27 (not a whole number)
  • 170 / 134 = 1.27 (not a whole number)
  • 170 / 135 = 1.25 (not a whole number)
  • 170 / 136 = 1.25 (not a whole number)
  • 170 / 137 = 1.24 (not a whole number)
  • 170 / 138 = 1.23 (not a whole number)
  • 170 / 139 = 1.22 (not a whole number)
  • 170 / 140 = 1.21 (not a whole number)
  • 170 / 141 = 1.20 (not a whole number)
  • 170 / 142 = 1.19 (not a whole number)
  • 170 / 143 = 1.18 (not a whole number)
  • 170 / 144 = 1.18 (not a whole number)
  • 170 / 145 = 1.17 (not a whole number)
  • 170 / 146 = 1.16 (not a whole number)
  • 170 / 147 = 1.15 (not a whole number)
  • 170 / 148 = 1.15 (not a whole number)
  • 170 / 149 = 1.14 (not a whole number)
  • 170 / 150 = 1.13 (not a whole number)
  • 170 / 151 = 1.12 (not a whole number)
  • 170 / 152 = 1.12 (not a whole number)
  • 170 / 153 = 1.11 (not a whole number)
  • 170 / 154 = 1.10 (not a whole number)
  • 170 / 155 = 1.09 (not a whole number)
  • 170 / 156 = 1.09 (not a whole number)
  • 170 / 157 = 1.08 (not a whole number)
  • 170 / 158 = 1.07 (not a whole number)
  • 170 / 159 = 1.07 (not a whole number)
  • 170 / 160 = 1.06 (not a whole number)
  • 170 / 161 = 1.06 (not a whole number)
  • 170 / 162 = 1.05 (not a whole number)
  • 170 / 163 = 1.04 (not a whole number)
  • 170 / 164 = 1.04 (not a whole number)
  • 170 / 165 = 1.03 (not a whole number)
  • 170 / 166 = 1.02 (not a whole number)
  • 170 / 167 = 1.02 (not a whole number)
  • 170 / 168 = 1.01 (not a whole number)
  • 170 / 169 = 1.01 (not a whole number)
  • 170 / 170 = 1 (whole number)
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From the calculations above, we found the divisors of 170 where the division resulted in a whole number:

  • 1
  • 2
  • 5
  • 10
  • 17
  • 34
  • 85
  • 170

In conclusion, the complete list of divisors for the number 170 is:

1, 2, 5, 10, 17, 34, 85, 170

Understanding divisors helps us learn more about numbers and their properties. If you follow the steps provided, you can find the divisors for any number!

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