 # Factors Of 24

Factors of 24 are the numbers, which gives the result as 24 when multiplied together in pair. You can also say, if any number divides number 24 and gives no remainder, then it is a factor.

24 is a composite number, therefore it will have factors more than two.

The prime factorisartion of 24 gives,

24 = 2 x 2 x 2 x 3 = 23 x 3

We can see here, the exponent of 2 is 3 and 3 is 1.

Now, to find the number of factors of 24 we need to add 1 each to the exponents and multiply them, such as:

(3+1) x (1+1)

= 4 x 2

= 8

Hence, there are 8 positive factors for number 24.

In the same way, we can find a list of factors of 36, 12, 18 and other composite numbers. Whereas the prime factors consist of only prime numbers. The multiples of 24 are extended times tables, such as, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360 and so on. We will find the factors of a number, 24, with the help of the multiplication method. ## Factors of 24 in Pairs

We can find the factors of number 24 , by multiplying two numbers in a pair to get the original number as 24, such as;

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

 Factors Of 24 1, 2, 3, 4, 6, 8, 12 and 24

### Prime Factorisation of 24

The number 24 is a composite number. Now let us find the prime factors of 24.

• The first step is to divide the number 24 with the smallest prime factor, i.e. 2.

24 ÷ 2 = 12

Again, divide 12 by 2.

12 ÷ 2 = 6

6 ÷ 2 = 3

Now, if we divide 3 by 2 we get a fraction number, which cannot be a factor.

• Now, proceed to the next prime numbers, i.e. 3.

3 ÷ 3 = 1

• We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factorisation of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

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## Frequently Asked Questions – FAQs

### What are the factors of 24?

Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

### How many factors are there for 24?

There are total of eight factors of 24.
24÷1=24
24÷2=12
24÷3=8
24÷4=6
24÷6=4
24÷8=3
24÷12=2
24÷24=1

### How to find number of factors?

To find the number of factors for a given number we need to do first prime factorisation of the number.
Then check with the number of exponents
Add 1 to each exponent and multiply them all together.
For example, prime factorisation of 8 is 2 x 2 x 2 = 23
As we can see here, the exponent is 3. Therefore, numbers of factors will 3+1 = 4
Hence, 1,2,4 & 8 are the factors of 8.

### What are the factors of 24 in pairs?

The factors of 24 in pairs are (1,24), (2,12) (3,8) and (4,6).

### What are the prime factors of 24?

The prime factorisation of 24 gives 2 × 2 × 2 × 3 = 23 × 3.

1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24

### What is the total of prime factors of 24?

The factors of number 24 are 1, 2, 3, 4, 6, 8, 12, 24.
Sum of all the factors = 1+2+3+4+6+8+12+24 = 60

### What are common factors between 12 and 24?

The common factors of 12 and 24 are 1,2,3,4,6 and 12.

### What times what gives 24 as result?

One time of 24 equal to 24, Two times of 12 is 24, Three times of 8 are 24, Four times of 6 are 24.