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 = 2^{3} 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 2^{3} × 3, where 2 and 3 are the prime numbers.
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Links Related to Factors | |
Factors of 15 | Factors of 36 |
Factors of 48 | Factors of 18 |
Factors of 42 | Factors of 60 |
Factors of 35 | Factors of 27 |
Factors of 84 | Factors of 50 |
Frequently Asked Questions – FAQs
What are the factors of 24?
How many factors are there for 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?
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?
What are the prime factors of 24?
What two factors equal 24?
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
What is the total of prime factors of 24?
Sum of all the factors = 1+2+3+4+6+8+12+24 = 60