Divisors of 24

When we talk about the divisors of a number, we are referring to the numbers that can be multiplied together to reach that original number without leaving a remainder. In simple terms, if we can divide the original number by another number and get a whole number as a result, then that second number is a divisor of the original number. This article will help you understand what divisors are and how to find them for the number 24.

Understanding Division

Before we dive into finding divisors, let’s get clear on what division is. Division is simply a way of splitting a number into equal parts. There are three important terms to know in division:

• Dividend: This is the number you want to divide. In our case, for divisors of 24, 24 is the dividend.
• Divisor: This is the number by which you divide the dividend. When we check each number from 1 to 24, these will be our divisors.
• Quotient: This is the result we get after dividing the dividend by the divisor. The quotient tells us how many times the divisor fits into the dividend.

For example, let’s take a look at the division of 24:

• 24 / 1 = 24 (1 is the divisor and 24 is the quotient)
• 24 / 2 = 12 (2 is the divisor and 12 is the quotient)

Finding Divisors of 24

To find all the divisors of the number 24, we need to check each integer from 1 up to 24 and see if it divides 24 evenly (without leaving a remainder). We will do this by performing division for each number.

Step-by-Step Guide

1. Start with the number 1 and go up to 24.
2. Divide 24 by each integer.
3. Check if the quotient is a whole number (this means there’s no remainder).

Division Calculations

Here are the results of dividing 24 by numbers from 1 to 10:

1. 24 / 1 = 24 (Whole number)
2. 24 / 2 = 12 (Whole number)
3. 24 / 3 = 8 (Whole number)
4. 24 / 4 = 6 (Whole number)
5. 24 / 5 = 4.8 (Not a whole number)
6. 24 / 6 = 4 (Whole number)
7. 24 / 7 = 3.42857 (Not a whole number)
8. 24 / 8 = 3 (Whole number)
9. 24 / 9 = 2.66667 (Not a whole number)
10. 24 / 10 = 2.4 (Not a whole number)

As we can see, the divisors of 24 that produce whole numbers are:

1. 1
2. 2
3. 3
4. 4
5. 6
6. 8

Continuing this process for the numbers from 11 to 24 would yield that 12, 16, and 24 are also divisors, while others would not yield whole numbers.

Conclusion

In conclusion, the complete list of all divisors of 24 is:

1, 2, 3, 4, 6, 8, 12, 24

These are all the numbers that can divide 24 evenly, providing us with a clear understanding of the concept of divisors. Remember that when you find a divisor, the quotient must always be a whole number!