Maths

Divisors of 870

by Staff Writer
3 min read

Divisors of a number are the whole numbers that can divide that number without leaving a remainder. Understanding divisors is important because it helps us in various areas of mathematics, including simplifying fractions and finding common factors. In this article, we will explore the divisors of the number 870, breaking down the concept into easy-to-understand parts.

To understand divisors, we first need to know about division. When we perform division, we have three important terms:

  1. Dividend: This is the number we want to divide. In our case, the dividend is 870.
  2. Divisor: This is the number we are dividing by. We’ll use different whole numbers to divide 870.
  3. Quotient: This is the result we get from division. It tells us how many times the divisor can fit into the dividend.

For example, if we divide 870 by 1, the division looks like this:

870 / 1 = 870

Here, 870 is the dividend, 1 is the divisor, and 870 is the quotient. Now we know exactly what each term means as we explore the divisors of 870.

To calculate the divisors of 870, we divide 870 by every whole number starting from 1 up to 870. If the division gives us a whole number (meaning there is no remainder), then that divisor is a divisor of 870.

Let’s go step by step:

  1. Divide 870 by 1:

    • 870 / 1 = 870 (whole number)

  2. Divide 870 by 2:

    • 870 / 2 = 435 (whole number)

  3. Divide 870 by 3:

    • 870 / 3 = 290 (whole number)

  4. Divide 870 by 4:

    • 870 / 4 = 217.5 (not a whole number)

  5. Divide 870 by 5:

    • 870 / 5 = 174 (whole number)

  6. Divide 870 by 6:

    • 870 / 6 = 145 (whole number)

  7. Divide 870 by 7:

    • 870 / 7 = 124.2857 (not a whole number)

  8. Divide 870 by 8:

    • 870 / 8 = 108.75 (not a whole number)

  9. Divide 870 by 9:

    • 870 / 9 = 96.6667 (not a whole number)
  10. Divide 870 by 10:
    • 870 / 10 = 87 (whole number)
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Continuing this process would take us all the way to 870, but we just need to identify some of the divisors. The divisors we’ve found so far that give us whole numbers as quotients are:

  • 1
  • 2
  • 3
  • 5
  • 6
  • 10
  • 29
  • 30
  • 87
  • 145
  • 174
  • 290
  • 435
  • 870

In conclusion, after checking all relevant divisions, we see that the complete list of divisors of 870 includes:

1, 2, 3, 5, 6, 10, 29, 30, 87, 145, 174, 290, 435, and 870.

By understanding how to calculate the divisors of a number, you can unravel many fascinating aspects of math!

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