Maths

Divisors of 275

by Staff Writer
3 min read

Divisors of a number are the integers that can divide that number evenly, leaving no remainder. Understanding divisors helps us in various areas of mathematics, including factoring, simplifying fractions, and finding greatest common divisors. This article will focus on the divisors of the number 275, helping you to grasp this concept in a simple way.

To start, let’s review the concept of division. When you divide a number, you perform an operation to find out how many times one number can fit into another. In division, we use three key terms:

  1. Dividend: This is the number you want to divide.
  2. Divisor: This is the number you are dividing by.
  3. Quotient: This is the result you get from the division.

For example, if we take the formula 275 / 11 = 25:

  • 275 is the dividend.
  • 11 is the divisor.
  • 25 is the quotient.

Now, let’s find the divisors of 275. To do this, we will check every integer starting from 1 up to 275 to see if it can divide 275 evenly (that is, without leaving a fraction). If a number can divide 275 evenly, it is considered a divisor.

Step-by-Step Guide to Calculate Divisors of 275:

  1. Start with the number 1 and go up to 275.
  2. For each integer ( n ), perform the division 275 / n.
  3. If the result (quotient) is a whole number (meaning there is no remainder), then ( n ) is a divisor of 275.

Let’s perform these calculations:

  1. 275 / 1 = 275 (Whole number)
  2. 275 / 2 = 137.5 (Not a whole number)
  3. 275 / 3 = 91.67 (Not a whole number)
  4. 275 / 4 = 68.75 (Not a whole number)
  5. 275 / 5 = 55 (Whole number)
  6. 275 / 6 = 45.83 (Not a whole number)
  7. 275 / 7 = 39.29 (Not a whole number)
  8. 275 / 8 = 34.375 (Not a whole number)
  9. 275 / 9 = 30.56 (Not a whole number)
  10. 275 / 10 = 27.5 (Not a whole number)
  11. 275 / 11 = 25 (Whole number)
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Continuing this process for larger integers reveals more divisors, but we will pause with our list for now and indicate that there are many other divisors to find, which can be done in a similar way.

Here are the results of our calculations for divisors of 275:

  • 275 / 1 = 275 (Whole number)
  • 275 / 5 = 55 (Whole number)
  • 275 / 11 = 25 (Whole number)

Additionally, here are more divisors we would find if we continued:

  • 275 / 25 = 11 (Whole number)
  • 275 / 55 = 5 (Whole number)
  • 275 / 275 = 1 (Whole number)

Conclusion:

After performing the calculations and checking each integer, we found the following divisors of 275:

  1. 1
  2. 5
  3. 11
  4. 25
  5. 55
  6. 275

These numbers can divide 275 evenly, and thus they are the divisors of 275! Understanding divisors can help you further in your exploration of numbers and math.

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