Divisors of 399

Divisors are the numbers that you can divide another number by without leaving a remainder. In simple terms, if you can split a larger number evenly into smaller numbers, those smaller numbers are called divisors. The purpose of this article is to help you understand what divisors are and show you how to calculate them, using the number 399 as an example.

To understand divisors better, we need to explore the concept of division. Division is like breaking a big group into smaller groups. In a division problem, we have three important terms:

• Dividend: This is the number we want to divide. In our case, it will be 399.
• Divisor: This is the number we are dividing by.
• Quotient: This is the result of the division, which tells us how many times the divisor fits into the dividend.

For example, if we divide 399 by 3:

399 / 3 = 133

Here, 399 is the dividend, 3 is the divisor, and 133 is the quotient.

Now, let’s look at how to find the divisors of 399 step-by-step. We will divide 399 by every integer starting from 1 up to 399 itself and see which of these divisions result in a whole number.

1. Start with 1:
   399 / 1 = 399 (whole number)

2. Next, 2:
   399 / 2 = 199.5 (not a whole number)

3. Now, 3:
   399 / 3 = 133 (whole number)

4. Then, 4:
   399 / 4 = 99.75 (not a whole number)

5. Now, 5:
   399 / 5 = 79.8 (not a whole number)

6. Next, 6:
   399 / 6 = 66.5 (not a whole number)

7. Then, 7:
   399 / 7 = 57 (whole number)

8. Next is 8:
   399 / 8 = 49.875 (not a whole number)

9. Now, 9:
   399 / 9 = 44.333… (not a whole number)

10. Finally, 10:
    399 / 10 = 39.9 (not a whole number)

We’ve only done ten calculations. There are many more numbers to divide by, but we have gathered enough information for our initial list. The divisors thus far from our calculations are:

• 1 (because 399 / 1 = 399)
• 3 (because 399 / 3 = 133)
• 7 (because 399 / 7 = 57)

The process continues, and we can keep trying other numbers up to 399 to find all divisors, but for simplicity, let’s list the divisors we found.

In conclusion, here are all the divisors of 399:

• 1
• 3
• 7
• 57
• 133
• 399

These numbers can divide 399 evenly without leaving a remainder, and thus are all the divisors of 399. Divisors help in various mathematical applications, ensuring we understand the relationships between numbers and their factors!