Divisors of 130

Divisors of a number are the integers that you can divide that number by without leaving a remainder. In other words, if you can divide the number evenly, the number you used to divide is a divisor. For example, if you take the number 14, you can divide it by 1, 2, 7, and 14, and you will not have any leftovers. This article will help you understand how to find the divisors of a number, using the number 130 as an example.

To understand divisors better, we first need to know about division. Division is a way of splitting a number into equal parts. In division, there are three important terms:

1. Dividend: This is the number you want to divide.
2. Divisor: This is the number you are dividing by.
3. Quotient: This is the result of the division.

Let’s look at a simple example with the number 130:

When you divide 130 by 1 (which is the divisor), the equation looks like this:

130 / 1 = 130

In this case, 130 is the dividend, 1 is the divisor, and 130 is also the quotient. Now, let’s see how to find the divisors of 130.

How to Calculate Divisors

To find the divisors of 130, you need to divide it by every whole number starting from 1 and going up to 130 itself. For each division, check if the result (the quotient) is a whole number. If it is, that means the number you divided by is a divisor of 130.

Here’s a step-by-step guide:

1. Start with 1 and divide 130 by it.
2. Move to 2 and divide 130 by 2.
3. Continue this process up to 130.

Division Calculations

Let’s perform the division for the first ten integers to see which ones yield a whole number:

1. 130 / 1 = 130 (Whole number, so 1 is a divisor)
2. 130 / 2 = 65 (Whole number, so 2 is a divisor)
3. 130 / 3 = 43.333… (Not a whole number)
4. 130 / 4 = 32.5 (Not a whole number)
5. 130 / 5 = 26 (Whole number, so 5 is a divisor)
6. 130 / 6 = 21.666… (Not a whole number)
7. 130 / 7 = 18.571… (Not a whole number)
8. 130 / 8 = 16.25 (Not a whole number)
9. 130 / 9 = 14.444… (Not a whole number)
10. 130 / 10 = 13 (Whole number, so 10 is a divisor)

As we can see, the complete list of whole number quotients was obtained for divisors 1, 2, 5, and 10.

Continuing this method up to 130, you’d find more divisors, such as 13, 26, 65, and 130 itself.

Conclusion

Now let’s summarize all the divisors of 130 that we found:

• 1
• 2
• 5
• 10
• 13
• 26
• 65
• 130

These are all the numbers that divide 130 evenly. Understanding divisors helps in various mathematical concepts, such as fractions, simplifying problems, and working with factors.