Maths

Divisors of 216

by Staff Writer
3 min read

Divisors of a number are important in mathematics. They are the numbers that can divide the given number without leaving a remainder. Understanding divisors helps us with various mathematical concepts, including factors, prime numbers, and number theory. In this article, we will explore the divisors of the number 216, showing you how to find them step-by-step.

To understand divisors better, let’s talk about division. In division, we have three important terms:

  • Dividend: This is the number we want to divide. In our case, it is 216.
  • Divisor: This is the number we are dividing by. It can be any whole number.
  • Quotient: This is the result of the division.

For example, when we divide 216 by a number, say 1, it looks like this:

216 / 1 = 216

Here, 216 is the dividend, 1 is the divisor, and 216 is also the quotient.

Now, let’s go step by step to find all the divisors of 216. We will divide 216 by every whole number starting from 1 up to 216 itself. If the result (quotient) is a whole number, then that divisor is valid.

  1. Divide 216 by 1:
    • 216 / 1 = 216 (whole number)
  2. Divide 216 by 2:
    • 216 / 2 = 108 (whole number)
  3. Divide 216 by 3:
    • 216 / 3 = 72 (whole number)
  4. Divide 216 by 4:
    • 216 / 4 = 54 (whole number)
  5. Divide 216 by 5:
    • 216 / 5 = 43.2 (not a whole number)
  6. Divide 216 by 6:
    • 216 / 6 = 36 (whole number)
  7. Divide 216 by 7:
    • 216 / 7 = 30.857 (not a whole number)
  8. Divide 216 by 8:
    • 216 / 8 = 27 (whole number)
  9. Divide 216 by 9:
    • 216 / 9 = 24 (whole number)
  10. Divide 216 by 10:
    • 216 / 10 = 21.6 (not a whole number)
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Continuing this process for all numbers up to 216 would take a while, but we’ve found that 1, 2, 3, 4, 6, 8, 9, and 27 divide evenly into 216. For numbers greater than 10, we would continue to perform division similarly.

Now, here’s the complete list of all the divisors we found:

  • 1
  • 2
  • 3
  • 4
  • 6
  • 8
  • 9
  • 12
  • 18
  • 24
  • 27
  • 36
  • 54
  • 72
  • 108
  • 216

In summary, the divisors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216. These numbers can divide 216 completely, meaning they leave no remainder when used as divisors. Understanding divisors is a key part of mastering many aspects of math!

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