Factors of 24 are the numbers that divide 24 without leaving no or 0 remainder. If you are facing a problem related to any factor of 24 and want to know what are all the 24 factors.
We will tell you each and every piece of information related to all 24 factors. We will provide you the list all the factors of 24, information about factors of negative 24, and methods to find factor of 24 with help of using the Multiplication Method, the Prime Factorization Method, and the Factor Tree Method.
factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 from which 8 is the greatest factor of 24 and 2 & 3 are the prime 24 factors.
What Are the Factors of Negative 24?
There are 8 factors in the list the factors of negative 24 can be listed as -1, -2, -3, -4, -6, -8, -12, and -24. These factors are just negative integers. So if you are in confusion or facing any issues while finding the factors of negative 24 then you just have to write all 24 factors with just negative symbolization (-).
What Are The Factors Of 24?
There are 8 factors of 24 & these all are 1, 2, 3, 4, 6, 8, 12, and 24. These factors are those numbers that divide 24 without leaving any remainder or zero remainders.
In simple words, we can say that if we divide 24 by any number and it gets divisible completely then that number will get included in the list of all the factors of 24.
What Are The Composite Factors Of 24?
On the basis of the above information, we have now the list of composite factors of 24 and they are 4, 6, 8, 12, and 24.
Composite numbers are those numbers that have more than 2 factors. In simple words, composite numbers have factors other than 1 and itself.
How To Find The Factors Of 24?
There are 3 methods to find factors of 24 that can be used by every student.
- Multiplication method.
- Prime factorization method.
- Factor tree method.
How To Find Factors Of 24 By Multiplication Method?
In order to find all 24 Factors using the multiplication method follow the steps provided down below:
- Step 1: We need to divide 24 by the natural numbers from 1 to 24 and check what pairs of numbers multiply to get 24.
- Step 2: The numbers which get completely divided by 24 without leaving any remainder are known as 24 factors.
- Step 3: After finding the numbers we have to write them in a pair that products show 24.
- Step 4: As a result, we have the factor pairs of 24 (1 X 24) = 24, (2 X 12) = 24, (3 X 8) = 24, (4 X 6) = 24.
- Step 5: After this process, we have listed all the factors of 24 such as 1, 2, 3, 4, 6, 8, 12, and 24.
These numbers are all the 24 factors which we have found with the help of using the multiplication method.
How To Find Factors Of 24 By Prime Factorization Method?
To find all factors of 24 by using prime factorization method just follow the steps we have mentioned here:
- Step 1: we have to divide 24 with the smallest prime numbers. (Prime factor is a factor that is divided by 1 or a number itself without leaving no 0 remainders).
- Step 2: which is 2 or 3.
- Step 3: 24 ÷ 2 = 12,12 ÷ 2 = 6, 6 ÷ 2 = 3 now 3 is no more divided by 2.
- Step 4: This means we have to divide 3 by 3, 3 ÷ 3 = 1 now we get 1, as a result, that means the process is ended we don’t need to do the process anymore.
- Step 5: when we divide it we simply get 24 = 23 X 3
- Step 6: in this factorization, 2 and 3 are the smallest prime numbers.
- Step 7: such a factorization of a number is called prime factorization.
How To Find Factors Of 24 By Factor Tree Method?
In order to find factors of 24 using the Factor Tree method you have to follow the steps provided down below:
Factor tree is a method to find 24 factor in which we will spread the given numbers in branches and divide them till we get a prime number at the end of the branch.
- Spread 24 into 2 factors at first.
- Let’s take 2 and 12.
- Now we have 2 numbers or we can say that 2 branches to divide.
- Divide them till you get a prime number at the end of the branch.
- 2 is already a small prime number, now we have to divide 12.
- Split 12 into 2 more branches this time as a result we get 2 and 6.
- Split 6 into 2 more branches this time we get 2 and 3.
- Step 8: now we have 2 and 3 they both are prime numbers and it is not possible to factorize them.
- Step 9: As a result, we have the prime factors of 24 = 2 × 2 × 2 × 3 using the factor tree method.
- Note: There can be different branches divided while using the factors tree method in order to find a factor tree of 24.
It depends on the division of the given number into 2 factors as we mentioned in the first step but all these things will not affect the result. You will find the same result all the time
Factors of 24 In Pairs
A set of two numbers that are multiplied by each other to give 24 as a product are known as pair factors of 24 a given number.
We know that all factors of number 24 are 1, 2, 3, 4, 6, 8, 12, and 24. : Then factors of 24 in pairs will be 24 = (1,24), (2,12) (3,8), and (4,6).
| Factors | Factor Pairs of 24 |
|---|---|
| 1 × 24 = 24 | 1, 24 |
| 2 × 12 = 24 | 2, 12 |
| 3 × 8 = 24 | 3, 8 |
| 4 × 6 = 24 | 4, 6 |
Pairs Factors of Negative 24
The product of two negative numbers also gives positive numbers (minus X minus = plus). So, there can be a situation when you have to find negative pair factors because of this let’s have an eye on negative pair factors 24.
Then negative 24 factors pairs will be -24 = (-1, -24), (-2, -12), (-3, -8), and (-4, -6).
| Factors | Pairs Factors of Negative 24 |
|---|---|
| -1 × -24 = 24 | -1, -24 |
| -2 × -12 = 24 | -2, -12 |
| -3 × -8 = 24 | -3, -8 |
| -4 × -6 = 24 | -4, -6 |
A Quick Observation About The All Factors Of 24
- All Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.
- Factors of negative 24: -1, -2, -3, -4, -6, -8, -12, and -24.
- Factors of 24 In Pair: (1, 24), (2, 12) (3, 8), and (4, 6).
- Pairs factor of negative 24: (-1, -24), (-2, -12), (-3, -8), and (-4, -6).
- Composite factors of 24: 4, 6, 8, 12, and 24.
- Sum of the factors of 24: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 = 60
- Prime Factorization of 24: 23 x 3 = 2 x 2 x 2 x 3.
What Are The Prime Factors Of 24?
2 X 3 are the prime factors of 24. These 24 prime factors only can be divided by 1 and itself.
What Are The Pairs Factors Of 24?
Factor pairs of 24 are 1 x 24, 2 x 12, 3 x 8, 4 x 6, 6 x 4, 8 x 3, 12 x 2, 24 x 1.
What Are Not Factors of 24?
There are so many numbers that are not 24 factors but we have selected 5, 7, 9, 11, 13, and 15 because they can’t divide 24 completely.
What Is The Highest Common Factor of 24?
Number 8 is the H.C.F of 24 from its all factors we have mentioned on this page.
What Are Multiples of 24?
The multiples of 24 can be shown as 48, -24, 0, 24, 48, 72, and 96.
What Is A Prime Factor of 24?
The prime factors of 24 are the number that can get divided by itself and 1 or 24. So you can say that 2 and 3 are prime 24 factors.
What Are The 24 Prime Factors?
2 and 3 are the 24 prime factors that can divide by 24 without leaving any remainder but can only be divided by 1 and itself.
What Are Composite Factors of 24?
The composite factors of 24 are 4, 6, 8, 12, and 24.
What Are The Factors Of 24?
1, 2, 3, 4, 6, 8, 12, and 24 are all 24 factors.
What Are The Pairs Factors Of Negative 24?
Negative factors of 24 in pairs are -1 x -24, -2 x -12, -3 x -8, -4 x- 6, -6 x -4, -8 x -3, -12 x -2, -24 x- 1.
What Is The Sum Of All Factors Of 24?
The sum of all the factors of 24 is equal to 60 that you will get by adding 1+ 2+3+4+6+8+12+ 24 = 60.