Divisors of 500

Divisors of a number are the whole numbers that can divide that number without leaving any remainder. In other words, if you can divide a number evenly by another number, then that other number is considered a divisor of the first number. The purpose of this article is to make it simple to understand what divisors are and how to find them, using the number 500 as our example.

To begin, let’s explain the concept of division. When you divide one number by another, you have three important terms:

• Dividend: This is the number you want to divide. In our case, it is 500.
• Divisor: This is the number by which you are dividing the dividend. We will use different integers for this to find the divisors of 500.
• Quotient: This is the result of the division.

For example, in the equation 500 / 5 = 100:

• 500 is the dividend,
• 5 is the divisor, and
• 100 is the quotient.

Now, let’s look at how to calculate the divisors of 500. To do this, we will divide 500 by every integer starting from 1 up to 500 itself. If the result gives us a whole number (meaning there is no remainder), then that integer is a divisor of 500.

Here’s a step-by-step guide:

1. Start with the number 1 and go up to 500.
2. For each integer, divide 500 by that integer.
3. Check if the result is a whole number.

Let’s start calculating the divisors of 500. We will divide 500 by the integers from 1 to 10 and check if the results are whole numbers.

Here are the calculations:

1. 500 / 1 = 500 (whole number)
2. 500 / 2 = 250 (whole number)
3. 500 / 3 = 166.67 (not a whole number)
4. 500 / 4 = 125 (whole number)
5. 500 / 5 = 100 (whole number)
6. 500 / 6 = 83.33 (not a whole number)
7. 500 / 7 = 71.43 (not a whole number)
8. 500 / 8 = 62.5 (not a whole number)
9. 500 / 9 = 55.56 (not a whole number)
10. 500 / 10 = 50 (whole number)

From our calculations, we found that the integers 1, 2, 4, 5, and 10 produce whole numbers as quotients.

Continuing this process for numbers beyond 10 would take more space, but you can assume there are more divisors.

To summarize, the full list of divisors for the number 500 includes:

• 1
• 2
• 4
• 5
• 10
• 20
• 25
• 50
• 100
• 125
• 250
• 500

Thus, the complete set of divisors of 500 is: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. These are all the numbers that can divide 500 without leaving a remainder.