Divisors of 8

Divisors of a number are the numbers that can be divided evenly into that number without leaving a remainder. In simple terms, if you can divide a number by another number and get a whole number (without any leftover), then the second number is a divisor of the first. This article will help you understand what divisors are, how to find them, and will specifically look at the divisors of the number 8.

To understand divisors, it’s important to know about division. Division is when we split a number into equal parts. In division, we have three main terms:

1. Dividend: This is the number you want to divide. For example, in the division of 8, the number 8 is the dividend.
2. Divisor: This is the number you are dividing by. For example, if we divide 8 by 4, the number 4 is the divisor.
3. Quotient: This is the result you get from the division. In our example, when you divide 8 by 4, you get 2, which is the quotient.

So if we write it out, it looks like this:

8 (dividend) / 4 (divisor) = 2 (quotient).

Now, let’s find the divisors of the number 8. To do this, we will divide 8 by every integer starting from 1 up to 8 itself, since those are the numbers we want to check for divisibility.

Step-by-Step Guide to Finding the Divisors of 8:

1. Start with the number 1 (the smallest integer).
2. Divide 8 by 1.
3. Then divide 8 by 2.
4. Continue this process until you reach 8.

Let’s do this step-by-step:

• 8 / 1 = 8 (Quotient is 8 – whole number)
• 8 / 2 = 4 (Quotient is 4 – whole number)
• 8 / 3 = 2.67 (Quotient is not a whole number)
• 8 / 4 = 2 (Quotient is 2 – whole number)
• 8 / 5 = 1.6 (Quotient is not a whole number)
• 8 / 6 = 1.33 (Quotient is not a whole number)
• 8 / 7 = 1.14 (Quotient is not a whole number)
• 8 / 8 = 1 (Quotient is 1 – whole number)

From our calculations, we see that dividing 8 by 1, 2, 4, and 8 gives us whole numbers.

So, let’s summarize the results:

• From 1: 8 / 1 = 8 (whole number)
• From 2: 8 / 2 = 4 (whole number)
• From 3: Not a whole number
• From 4: 8 / 4 = 2 (whole number)
• From 5: Not a whole number
• From 6: Not a whole number
• From 7: Not a whole number
• From 8: 8 / 8 = 1 (whole number)

In conclusion, the divisors of 8, which are the numbers that can divide 8 evenly, are:

1, 2, 4, 8.

These are all the divisors of 8. By identifying these numbers, you can better understand how division works and how to find divisors for any number!