Divisors of 385

Divisors of a number are all the whole numbers that can divide that number evenly, meaning there is no remainder left over. Understanding divisors can help in various areas of math, such as simplifying fractions or finding factors for multiplication. In this article, we’ll focus on finding the divisors of the number 385.

What is Division?

Division is a way to split a number into equal parts. In a division problem, we have three important terms:

• Dividend: The number we want to divide (in our case, the number 385).
• Divisor: The number we are dividing by (a whole number we will take from 1 to 385).
• Quotient: The result of the division.

For example, in the division problem 385 / 5 = 77:

• The dividend is 385.
• The divisor is 5.
• The quotient is 77.

This means 385 can be divided by 5 to get a whole number, which is 77.

How to Calculate the Divisors of 385

To find the divisors of 385, we will check each whole number starting from 1 up to 385. We do this by dividing 385 by each number and seeing if we get a whole number as the result (the quotient). If there is no remainder, that number is a divisor.

Here’s how we do it step-by-step:

1. Start with the number 1 and divide 385 by it.
2. Then move to the next whole number, which is 2, and divide 385 by 2.
3. Continue this process up to the number 385.

Division Calculations

Let’s perform the division for a few integers from 1 to 10:

1. 385 / 1 = 385 (Whole number, so 1 is a divisor)
2. 385 / 2 = 192.5 (Not a whole number, so 2 is not a divisor)
3. 385 / 3 = 128.333… (Not a whole number, so 3 is not a divisor)
4. 385 / 4 = 96.25 (Not a whole number, so 4 is not a divisor)
5. 385 / 5 = 77 (Whole number, so 5 is a divisor)
6. 385 / 6 = 64.166… (Not a whole number, so 6 is not a divisor)
7. 385 / 7 = 55 (Whole number, so 7 is a divisor)
8. 385 / 8 = 48.125 (Not a whole number, so 8 is not a divisor)
9. 385 / 9 = 42.777… (Not a whole number, so 9 is not a divisor)
10. 385 / 10 = 38.5 (Not a whole number, so 10 is not a divisor)

Continuing this process, you will eventually find more divisors as you extend beyond 10, but for now, we will stop here.

Conclusion

From our calculations, the divisors of 385, at least for the numbers we calculated, are:

• 1
• 5
• 7

As we continue to find more divisors beyond 10, they would include:

• 11
• 35
• 55
• 77
• 385

In full, here is the complete list of all the divisors of 385:
1, 5, 7, 11, 35, 55, 77, 385

Learning about divisors is a fundamental math skill that helps us understand numbers much better!