factor of 24

Factors of 24

Factors of 24

Factors of 24 are all the numbers that are divisible into 24 without any remainders. These factors are whole numbers and can be both positive and negative. In this page, we will learn how to find out all the factors of 24, including prime factors of 24.

The answer of :

Table of Contents :

Pair Factors of 24

In order to get the pair factors, we need to find two numbers multiplied together can get 24.

Multiplication

1 x 24

2 x 12

3 x 8

4 x 6

Positive pair
factors of 24

(1, 24)

(2, 12)

(3, 8)

(4, 6)

Negative pair
factors of 24

(-1, -24)

(-2, -12)

(-3, -8)

(-4, -6)

Prime Factors of 24

To obtin the prime factors of 24, you need to find the factors of 24 and divide them out.

Alternately, we can organize all the prime factors of 24 using a tree diagram:

diagram-of-24

To list out all the prime factors : 24 = 2 × 2 × 2 × 3

How to Calculate the Factors of 24

Factors must be the whole numbers, which means fractions like 5.6 is not considered as a factor. We use the integers to divide 24, if there is no remainder, then the integers you use are the factors of 24. We can always dividing 24 by 1 to get started, then move to different integers.

24/1 = 24 (Factor = 1 and remainder = 0)

24/2 = 12 (Factor = 2 and remainder = 0)

24/3 = 8 (Factor = 3 and remainder = 0)

24/4 = 6 (Factor = 4 and remainder = 0)

Note:

If we divide 24 by numbers other than 1, 2, 4, 7, 8, 14, 28 and 24, there must be a remainder. Let us try 3,

note

2 is the remainder, then 3 is not the factors of 24

Examples

1. Find the common factors of 23 and 56

Answer:

The factors of 23 are: 1,23. (23 is a prime number)
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example1

Thus, common factor of 23 and 56 is 1.

2. Find the common factors of 52 and 56

Answer:

The factors of 52 are: 1, 2, 4, 13, 26, and 52.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example2

Thus, common factosr of 52 and 56 are: 1, 2, 4

3. Find the common factors of 33 and 56

Answer:

The factors of 33 are: 1, 3, 11 and 33.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56

example3

Thus, common factor of 23 and 56 is 1.

FAQ - Factor of 24

What are the multiples of 24?

1x24=24, 2x24=48, 3x24=72, 4x24=96, 5x24=120...

Is 24 prime or composite?

Composite number, because 24 can be divided evenly by 1 and 24, (2, 12), (4, 6), (6, 3) are also the pairs of factors of 24

How many prime factors are there in 24?

The prime factors of 24 = 2x2x2x3, which means there are 2 prime factors in 24, they are 2 and 3.

What is the perfect number?

The perfect number is a positive integar that equal to the sum of its proper divisors.( not include itself) For example, 6 is the smallest perfect number, the factors of 6 are: 1,2,3,6. 6=1+2+3

Do numbers end?

No, numbers are infinite and never end.