Maths

Divisors of 57

by Staff Writer
3 min read

Divisors of a number are the integers that can evenly divide that number without leaving a remainder. In other words, if you take a number and divide it by one of its divisors, you will get a whole number as a result. This article aims to help you understand what divisors are and how to find them using the number 57 as our example.

To understand divisors better, we first need to know about division. Division is a way to split a number into equal parts. In division, we have three main terms: the dividend, the divisor, and the quotient.

  • Dividend: This is the number we want to divide. In our case, the dividend will be 57.
  • Divisor: This is the number by which we are dividing. We will try different numbers starting from 1 and going up to 57.
  • Quotient: This is the result of the division. When the division works perfectly, the quotient will be a whole number.

For example, if we divide 57 by 1:
57 / 1 = 57
Here, 57 is the dividend, 1 is the divisor, and 57 is also the quotient.

Let’s find the divisors of 57 by dividing it by every integer starting from 1 all the way up to 57. We’ll perform the division and check if the result is a whole number.

Step-by-Step Guide to Calculate Divisors of 57:

  1. Start with the number 1:
    57 / 1 = 57 (whole number, so 1 is a divisor)

  2. Next, try 2:
    57 / 2 = 28.5 (not a whole number, so 2 is NOT a divisor)

  3. Now, try 3:
    57 / 3 = 19 (whole number, so 3 is a divisor)

  4. Now, try 4:
    57 / 4 = 14.25 (not a whole number, so 4 is NOT a divisor)

  5. Next, try 5:
    57 / 5 = 11.4 (not a whole number, so 5 is NOT a divisor)

  6. Now, try 6:
    57 / 6 = 9.5 (not a whole number, so 6 is NOT a divisor)

  7. Next, try 7:
    57 / 7 = 8.14 (not a whole number, so 7 is NOT a divisor)

  8. Try 8:
    57 / 8 = 7.125 (not a whole number, so 8 is NOT a divisor)

  9. Try 9:
    57 / 9 = 6.33 (not a whole number, so 9 is NOT a divisor)

  10. Finally, try 10:
    57 / 10 = 5.7 (not a whole number, so 10 is NOT a divisor)
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Continuing this process, we find the next divisors:

  • 57 / 19 = 3 (whole number, so 19 is a divisor)
  • 57 / 57 = 1 (whole number, so 57 is a divisor)

Now, let’s compile our results from the divisions where we found whole numbers:

  • 1, 3, 19, and 57.

To summarize, the divisors of 57 are as follows:

  • Divisors of 57: 1, 3, 19, 57

This means that 1, 3, 19, and 57 can evenly divide the number 57 without leaving any remainder.

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