Divisors of 225

Divisors of a number are the integers that you can divide that number by without leaving a remainder. In simpler terms, if you can divide a number by another number and get a whole number in return, then that other number is a divisor. For instance, if we take the number 225, we will explore its divisors in this article.

To understand divisors better, we need to look at division. In every division operation, we have three key terms:

• Dividend: This is the number you want to divide. For example, in 225 / 5 = 45, 225 is the dividend.
• Divisor: This is the number you are dividing the dividend by. In the same example, 5 is the divisor.
• Quotient: This is the result you get after dividing the dividend by the divisor. In our example, 45 is the quotient.

So, you can think of division as breaking a number (the dividend) into equal parts (defined by the divisor), and the number of those parts is the quotient.

Now, let’s find the divisors of the number 225. To do this, we will divide the number 225 by every whole number starting from 1 up to 225 itself to check which divisions result in whole numbers.

Here’s how we can do it step-by-step:

1. Divide 225 by 1:
   225 / 1 = 225 (whole number)
2. Divide 225 by 2:
   225 / 2 = 112.5 (not a whole number)
3. Divide 225 by 3:
   225 / 3 = 75 (whole number)
4. Divide 225 by 4:
   225 / 4 = 56.25 (not a whole number)
5. Divide 225 by 5:
   225 / 5 = 45 (whole number)
6. Divide 225 by 6:
   225 / 6 = 37.5 (not a whole number)
7. Divide 225 by 7:
   225 / 7 = 32.14 (not a whole number)
8. Divide 225 by 8:
   225 / 8 = 28.125 (not a whole number)
9. Divide 225 by 9:
   225 / 9 = 25 (whole number)
10. Divide 225 by 10:
    225 / 10 = 22.5 (not a whole number)

Continuing this process will yield more results. The divisors will clearly show which divisions gave us whole numbers:

• 225 / 1 = 225 (yes)
• 225 / 2 = 112.5 (no)
• 225 / 3 = 75 (yes)
• 225 / 4 = 56.25 (no)
• 225 / 5 = 45 (yes)
• 225 / 6 = 37.5 (no)
• 225 / 7 = 32.14 (no)
• 225 / 8 = 28.125 (no)
• 225 / 9 = 25 (yes)
• 225 / 10 = 22.5 (no)

To summarize all calculations up to 225, we continue this process, but for now, we have found these divisors comfortably. The complete list of divisors for the number 225 includes those integers that, when divided by 225, result in a whole number without a remainder.

The divisors of 225 are:
1, 3, 5, 9, 15, 25, 45, 75, 225.

So in neat format, the complete list of divisors of 225 is:

• 1
• 3
• 5
• 9
• 15
• 25
• 45
• 75
• 225

This concludes our guide on finding the divisors of a number, specifically focusing on the number 225. Understanding divisors helps us better grasp important concepts in number theory and can be valuable in various math applications.